SlideShare une entreprise Scribd logo
1  sur  41
Formulae in other document but otherwise should be all covered...
From additional mathematics for OCR book
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 1A, B & C
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 1D
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 1E
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 1F
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 2A
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 2B
[object Object],[object Object],[object Object],[object Object],[object Object],Ex 2C & D
[object Object],[object Object],[object Object],Ex 2E
 
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],-1
[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object]
[object Object],= =
[object Object],= = =
[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],All Silver Tea Cups Sin Cos Tan  Sin Cos Tan  Sin Cos Tan  Sin Cos Tan  + + + - + - + - - - - + 1 1 -1 -1 It is like have a circle of one unit
[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],Curved line
[object Object],[object Object],[object Object],[object Object],[object Object],Yb - Ya Xa Ya = (Xa)² Xb Yb = (Xb)² Mab =  Xb - Xa 2 4 3.5 12.25 5.5 2 4 3 9 5 2 4 2.5 6.25 4.5 2 4 2.25 5.0625 4.25 2 4 2.1 4.41 4.1 2 4 2.05 4.2025 4.05 2 4 2.001 4.004001 4.001
y = x ³ y = x ² y = x ⁴ X Gradient 1 2 2 4 3 6 4 8 5 10 x 2x X Gradient 1 4 2 32 3 108 4 256 5 500 x 4x³ X Gradient 1 3 2 12 3 27 4 48 5 75 x 3x²
[object Object],[object Object],[object Object],[object Object],dy  dx dy  dx d dx
 
d dx d dx d dx d dx 1 2 √ x
[object Object],[object Object],[object Object],[object Object],y x y = c 0 d dx
[object Object],[object Object],[object Object],[object Object],[object Object],d dx d dx d dx d dx
[object Object],[object Object],[object Object],[object Object],d dx
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],d dx
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],y x A 0 B C + + + + + + + + + + - - - - - - - - 0 0 d dx d dx d dx
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
dy dx dy dx dy dx d²y dx² d²y dx² d²y dx² d³y dx³ = 0 = 0 = 0 = 0 < 0 > 0 ≠  0 At point P Remember to physically do and say each step in a question including saying if a certain point is a max., min. or point of inflection. Maximum point Minimum point and  (doesn’t change sign on either said of P) Point of inflection

Contenu connexe

Tendances

Direct and Inverse variations
Direct and Inverse variationsDirect and Inverse variations
Direct and Inverse variationsswartzje
 
Angle Relationships Power Point
Angle Relationships Power PointAngle Relationships Power Point
Angle Relationships Power Pointmalissatrotter
 
Sum and product of the roots of a
Sum and product  of the roots of aSum and product  of the roots of a
Sum and product of the roots of aMartinGeraldine
 
IGCSE MATHS - Algebraic and Graph - Graph of Functions (quadratic, cubic....)
IGCSE MATHS - Algebraic and Graph - Graph of Functions (quadratic, cubic....)IGCSE MATHS - Algebraic and Graph - Graph of Functions (quadratic, cubic....)
IGCSE MATHS - Algebraic and Graph - Graph of Functions (quadratic, cubic....)Iskandar Zulqarnain Mohd Ishak
 
Algebra 1 combining like terms
Algebra 1 combining like termsAlgebra 1 combining like terms
Algebra 1 combining like termsMark Ryder
 
6.1 quadratic sequences and tables
6.1 quadratic sequences and tables6.1 quadratic sequences and tables
6.1 quadratic sequences and tableshisema01
 
4.1 implicit differentiation
4.1 implicit differentiation4.1 implicit differentiation
4.1 implicit differentiationdicosmo178
 
Function transformations
Function transformationsFunction transformations
Function transformationsTerry Gastauer
 
Module 9 Topic 1 - Adding & Subtracting polynomials
Module 9 Topic 1 - Adding & Subtracting polynomialsModule 9 Topic 1 - Adding & Subtracting polynomials
Module 9 Topic 1 - Adding & Subtracting polynomialsLori Rapp
 
Quadratic Equations (Quadratic Formula) Using PowerPoint
Quadratic Equations (Quadratic Formula) Using PowerPointQuadratic Equations (Quadratic Formula) Using PowerPoint
Quadratic Equations (Quadratic Formula) Using PowerPointrichrollo
 
Quadratic Equations in One Variables.pptx
Quadratic Equations in One Variables.pptxQuadratic Equations in One Variables.pptx
Quadratic Equations in One Variables.pptxpandavlogsbyJM
 
Polynomial Function and Synthetic Division
Polynomial Function and Synthetic DivisionPolynomial Function and Synthetic Division
Polynomial Function and Synthetic DivisionElceed
 
Adding and subtracting radical expressions
Adding and subtracting radical expressionsAdding and subtracting radical expressions
Adding and subtracting radical expressionsAlbert Go
 
Direct and inverse proportion
Direct and inverse proportionDirect and inverse proportion
Direct and inverse proportion21EDM29DARSHINI A
 
7.7 Solving Radical Equations
7.7 Solving Radical Equations7.7 Solving Radical Equations
7.7 Solving Radical Equationsswartzje
 
Equation of a Circle in standard and general form
Equation of  a Circle in standard and general formEquation of  a Circle in standard and general form
Equation of a Circle in standard and general formAraceliLynPalomillo
 
Math unit8 number sequences
Math unit8 number sequencesMath unit8 number sequences
Math unit8 number sequenceseLearningJa
 

Tendances (20)

REDUCIBLE QUADRATIC EQUATIONS
REDUCIBLE QUADRATIC EQUATIONSREDUCIBLE QUADRATIC EQUATIONS
REDUCIBLE QUADRATIC EQUATIONS
 
Direct and Inverse variations
Direct and Inverse variationsDirect and Inverse variations
Direct and Inverse variations
 
Angle Relationships Power Point
Angle Relationships Power PointAngle Relationships Power Point
Angle Relationships Power Point
 
Sum and product of the roots of a
Sum and product  of the roots of aSum and product  of the roots of a
Sum and product of the roots of a
 
IGCSE MATHS - Algebraic and Graph - Graph of Functions (quadratic, cubic....)
IGCSE MATHS - Algebraic and Graph - Graph of Functions (quadratic, cubic....)IGCSE MATHS - Algebraic and Graph - Graph of Functions (quadratic, cubic....)
IGCSE MATHS - Algebraic and Graph - Graph of Functions (quadratic, cubic....)
 
Algebra 1 combining like terms
Algebra 1 combining like termsAlgebra 1 combining like terms
Algebra 1 combining like terms
 
6.1 quadratic sequences and tables
6.1 quadratic sequences and tables6.1 quadratic sequences and tables
6.1 quadratic sequences and tables
 
Absolute Value Notes
Absolute Value NotesAbsolute Value Notes
Absolute Value Notes
 
4.1 implicit differentiation
4.1 implicit differentiation4.1 implicit differentiation
4.1 implicit differentiation
 
alternate angles
alternate angles  alternate angles
alternate angles
 
Function transformations
Function transformationsFunction transformations
Function transformations
 
Module 9 Topic 1 - Adding & Subtracting polynomials
Module 9 Topic 1 - Adding & Subtracting polynomialsModule 9 Topic 1 - Adding & Subtracting polynomials
Module 9 Topic 1 - Adding & Subtracting polynomials
 
Quadratic Equations (Quadratic Formula) Using PowerPoint
Quadratic Equations (Quadratic Formula) Using PowerPointQuadratic Equations (Quadratic Formula) Using PowerPoint
Quadratic Equations (Quadratic Formula) Using PowerPoint
 
Quadratic Equations in One Variables.pptx
Quadratic Equations in One Variables.pptxQuadratic Equations in One Variables.pptx
Quadratic Equations in One Variables.pptx
 
Polynomial Function and Synthetic Division
Polynomial Function and Synthetic DivisionPolynomial Function and Synthetic Division
Polynomial Function and Synthetic Division
 
Adding and subtracting radical expressions
Adding and subtracting radical expressionsAdding and subtracting radical expressions
Adding and subtracting radical expressions
 
Direct and inverse proportion
Direct and inverse proportionDirect and inverse proportion
Direct and inverse proportion
 
7.7 Solving Radical Equations
7.7 Solving Radical Equations7.7 Solving Radical Equations
7.7 Solving Radical Equations
 
Equation of a Circle in standard and general form
Equation of  a Circle in standard and general formEquation of  a Circle in standard and general form
Equation of a Circle in standard and general form
 
Math unit8 number sequences
Math unit8 number sequencesMath unit8 number sequences
Math unit8 number sequences
 

En vedette

Maths Revision - GCSE And Additional Notes
Maths Revision - GCSE And Additional NotesMaths Revision - GCSE And Additional Notes
Maths Revision - GCSE And Additional NotesKatie B
 
Add maths complete f4 & f5 Notes
Add maths complete f4 & f5 NotesAdd maths complete f4 & f5 Notes
Add maths complete f4 & f5 NotesBright Minds
 
Add maths module form 4 & 5
Add maths module form 4 & 5Add maths module form 4 & 5
Add maths module form 4 & 5smktsj2
 
Form 5 Additional Maths Note
Form 5 Additional Maths NoteForm 5 Additional Maths Note
Form 5 Additional Maths NoteChek Wei Tan
 
GCSE Foundation Maths
GCSE Foundation MathsGCSE Foundation Maths
GCSE Foundation MathsQwizdom UK
 
Form 5 formulae and note
Form 5 formulae and noteForm 5 formulae and note
Form 5 formulae and notesmktsj2
 
GCSE Edexcel Revision
GCSE Edexcel RevisionGCSE Edexcel Revision
GCSE Edexcel Revisionanicholls1234
 
Chapter 9 differentiation
Chapter 9  differentiationChapter 9  differentiation
Chapter 9 differentiationatiqah ayie
 
Chapter 1 functions
Chapter 1  functionsChapter 1  functions
Chapter 1 functionsUmair Pearl
 
Powerpoint bahan intervensi add maths
Powerpoint bahan intervensi add maths Powerpoint bahan intervensi add maths
Powerpoint bahan intervensi add maths zabidah awang
 
Spm Add Maths Formula List Form4
Spm Add Maths Formula List Form4Spm Add Maths Formula List Form4
Spm Add Maths Formula List Form4guest76f49d
 
Chapter 8 circular measure
Chapter 8  circular measureChapter 8  circular measure
Chapter 8 circular measureatiqah ayie
 
Chapter 5 indices & logarithms
Chapter 5  indices & logarithmsChapter 5  indices & logarithms
Chapter 5 indices & logarithmsatiqah ayie
 
Relative velocity introduction
Relative velocity   introductionRelative velocity   introduction
Relative velocity introductionLily Maryati
 
4 - Vectors & relative motion
4 - Vectors & relative motion4 - Vectors & relative motion
4 - Vectors & relative motionguest924dbe
 
Maths igcse 2013
Maths igcse 2013Maths igcse 2013
Maths igcse 2013Rimba2005
 

En vedette (20)

Maths Revision - GCSE And Additional Notes
Maths Revision - GCSE And Additional NotesMaths Revision - GCSE And Additional Notes
Maths Revision - GCSE And Additional Notes
 
Add maths complete f4 & f5 Notes
Add maths complete f4 & f5 NotesAdd maths complete f4 & f5 Notes
Add maths complete f4 & f5 Notes
 
Add maths module form 4 & 5
Add maths module form 4 & 5Add maths module form 4 & 5
Add maths module form 4 & 5
 
Form 5 Additional Maths Note
Form 5 Additional Maths NoteForm 5 Additional Maths Note
Form 5 Additional Maths Note
 
Form 4 add maths note
Form 4 add maths noteForm 4 add maths note
Form 4 add maths note
 
GCSE Foundation Maths
GCSE Foundation MathsGCSE Foundation Maths
GCSE Foundation Maths
 
Form 5 formulae and note
Form 5 formulae and noteForm 5 formulae and note
Form 5 formulae and note
 
GCSE Edexcel Revision
GCSE Edexcel RevisionGCSE Edexcel Revision
GCSE Edexcel Revision
 
Chapter 9 differentiation
Chapter 9  differentiationChapter 9  differentiation
Chapter 9 differentiation
 
Chapter 1 functions
Chapter 1  functionsChapter 1  functions
Chapter 1 functions
 
Powerpoint bahan intervensi add maths
Powerpoint bahan intervensi add maths Powerpoint bahan intervensi add maths
Powerpoint bahan intervensi add maths
 
Spm Add Maths Formula List Form4
Spm Add Maths Formula List Form4Spm Add Maths Formula List Form4
Spm Add Maths Formula List Form4
 
Chapter 8 circular measure
Chapter 8  circular measureChapter 8  circular measure
Chapter 8 circular measure
 
Chapter 5 indices & logarithms
Chapter 5  indices & logarithmsChapter 5  indices & logarithms
Chapter 5 indices & logarithms
 
Relative velocity introduction
Relative velocity   introductionRelative velocity   introduction
Relative velocity introduction
 
Add maths syllabus
Add maths syllabusAdd maths syllabus
Add maths syllabus
 
4 - Vectors & relative motion
4 - Vectors & relative motion4 - Vectors & relative motion
4 - Vectors & relative motion
 
Maths igcse 2013
Maths igcse 2013Maths igcse 2013
Maths igcse 2013
 
Linear Law (Answer)
Linear Law (Answer)Linear Law (Answer)
Linear Law (Answer)
 
Linear law
Linear lawLinear law
Linear law
 

Similaire à Additional Mathematics Revision

quadraticequations-111211090004-phpapp02.pptx
quadraticequations-111211090004-phpapp02.pptxquadraticequations-111211090004-phpapp02.pptx
quadraticequations-111211090004-phpapp02.pptxanithanatarajan15
 
The Many Forms of Quadratic Equations
The Many Forms of Quadratic EquationsThe Many Forms of Quadratic Equations
The Many Forms of Quadratic Equationsguestd9670bb
 
quadratic equation
quadratic equationquadratic equation
quadratic equationRubal Oborai
 
Rs solving graphingquadraticequation
Rs solving graphingquadraticequationRs solving graphingquadraticequation
Rs solving graphingquadraticequationYvette Lee
 
Solving Quadratics
Solving QuadraticsSolving Quadratics
Solving Quadraticsallie125
 
Graphing quadratic equations
Graphing quadratic equationsGraphing quadratic equations
Graphing quadratic equationsswartzje
 
Maths notes for 4038 and 4016 paper
Maths notes for 4038 and 4016 paperMaths notes for 4038 and 4016 paper
Maths notes for 4038 and 4016 paperFabian Hkb
 
U3 08 ecuaciones
U3   08 ecuacionesU3   08 ecuaciones
U3 08 ecuacionesUNEFA Zulia
 
quadraticequations-111211090004-phpapp02 (2).pdf
quadraticequations-111211090004-phpapp02 (2).pdfquadraticequations-111211090004-phpapp02 (2).pdf
quadraticequations-111211090004-phpapp02 (2).pdfAngelle Pantig
 
Liner equation two variables
Liner equation two variablesLiner equation two variables
Liner equation two variablesSiddu Lingesh
 
Differentiation
DifferentiationDifferentiation
Differentiationtimschmitz
 
2.2 Linear Equations in One Variable
2.2 Linear Equations in One Variable2.2 Linear Equations in One Variable
2.2 Linear Equations in One Variablesmiller5
 
Analytic Geometry Period 1
Analytic Geometry Period 1Analytic Geometry Period 1
Analytic Geometry Period 1ingroy
 
IVS-B UNIT-1_merged. Semester 2 fundamental of sciencepdf
IVS-B UNIT-1_merged. Semester 2 fundamental of sciencepdfIVS-B UNIT-1_merged. Semester 2 fundamental of sciencepdf
IVS-B UNIT-1_merged. Semester 2 fundamental of sciencepdf42Rnu
 

Similaire à Additional Mathematics Revision (20)

quadraticequations-111211090004-phpapp02.pptx
quadraticequations-111211090004-phpapp02.pptxquadraticequations-111211090004-phpapp02.pptx
quadraticequations-111211090004-phpapp02.pptx
 
The Many Forms of Quadratic Equations
The Many Forms of Quadratic EquationsThe Many Forms of Quadratic Equations
The Many Forms of Quadratic Equations
 
quadratic equation
quadratic equationquadratic equation
quadratic equation
 
FM calculus
FM calculusFM calculus
FM calculus
 
Rs solving graphingquadraticequation
Rs solving graphingquadraticequationRs solving graphingquadraticequation
Rs solving graphingquadraticequation
 
Maths
MathsMaths
Maths
 
Solving Quadratics
Solving QuadraticsSolving Quadratics
Solving Quadratics
 
Graphing quadratic equations
Graphing quadratic equationsGraphing quadratic equations
Graphing quadratic equations
 
Maths notes for 4038 and 4016 paper
Maths notes for 4038 and 4016 paperMaths notes for 4038 and 4016 paper
Maths notes for 4038 and 4016 paper
 
MATHS SYMBOLS.pdf
MATHS SYMBOLS.pdfMATHS SYMBOLS.pdf
MATHS SYMBOLS.pdf
 
U3 08 ecuaciones
U3   08 ecuacionesU3   08 ecuaciones
U3 08 ecuaciones
 
Rational_Functions.pptx
Rational_Functions.pptxRational_Functions.pptx
Rational_Functions.pptx
 
quadraticequations-111211090004-phpapp02 (2).pdf
quadraticequations-111211090004-phpapp02 (2).pdfquadraticequations-111211090004-phpapp02 (2).pdf
quadraticequations-111211090004-phpapp02 (2).pdf
 
Liner equation two variables
Liner equation two variablesLiner equation two variables
Liner equation two variables
 
1602 parametric equations
1602 parametric equations1602 parametric equations
1602 parametric equations
 
Differentiation
DifferentiationDifferentiation
Differentiation
 
Advance algebra
Advance algebraAdvance algebra
Advance algebra
 
2.2 Linear Equations in One Variable
2.2 Linear Equations in One Variable2.2 Linear Equations in One Variable
2.2 Linear Equations in One Variable
 
Analytic Geometry Period 1
Analytic Geometry Period 1Analytic Geometry Period 1
Analytic Geometry Period 1
 
IVS-B UNIT-1_merged. Semester 2 fundamental of sciencepdf
IVS-B UNIT-1_merged. Semester 2 fundamental of sciencepdfIVS-B UNIT-1_merged. Semester 2 fundamental of sciencepdf
IVS-B UNIT-1_merged. Semester 2 fundamental of sciencepdf
 

Plus de Katie B

GCSE Chemistry Revision - Air and Air Pollution
GCSE Chemistry Revision - Air and Air PollutionGCSE Chemistry Revision - Air and Air Pollution
GCSE Chemistry Revision - Air and Air PollutionKatie B
 
A Brief Introduction to Mannose-Binding Lectin (MBL) and its Clinical Signifi...
A Brief Introduction to Mannose-Binding Lectin (MBL) and its Clinical Signifi...A Brief Introduction to Mannose-Binding Lectin (MBL) and its Clinical Signifi...
A Brief Introduction to Mannose-Binding Lectin (MBL) and its Clinical Signifi...Katie B
 
How Complement System Works (Lectin Pathway)
How Complement System Works (Lectin Pathway)How Complement System Works (Lectin Pathway)
How Complement System Works (Lectin Pathway)Katie B
 
Review of the Literature on Media Representations of the Human Genome Project
Review of the Literature on Media Representations of the Human Genome ProjectReview of the Literature on Media Representations of the Human Genome Project
Review of the Literature on Media Representations of the Human Genome ProjectKatie B
 
ANT presentation
ANT presentation ANT presentation
ANT presentation Katie B
 
NDNAD notes
NDNAD notesNDNAD notes
NDNAD notesKatie B
 
Review of Santos et al. 2013 paper
Review of Santos et al. 2013 paperReview of Santos et al. 2013 paper
Review of Santos et al. 2013 paperKatie B
 
Social Science, Health and Medicine Foundations exam revision
Social Science, Health and Medicine Foundations exam revisionSocial Science, Health and Medicine Foundations exam revision
Social Science, Health and Medicine Foundations exam revisionKatie B
 
Why has Political Attention towards Bioweapons and Biosecurity Increased?
Why has Political Attention towards Bioweapons and Biosecurity Increased?Why has Political Attention towards Bioweapons and Biosecurity Increased?
Why has Political Attention towards Bioweapons and Biosecurity Increased?Katie B
 
The era of the second world war
The era of the second world warThe era of the second world war
The era of the second world warKatie B
 
Concorde
ConcordeConcorde
ConcordeKatie B
 
BBC Broadcasting House
BBC Broadcasting HouseBBC Broadcasting House
BBC Broadcasting HouseKatie B
 
Lord Palmerston
Lord PalmerstonLord Palmerston
Lord PalmerstonKatie B
 
Is the CPS successful?
Is the CPS successful?Is the CPS successful?
Is the CPS successful?Katie B
 
Human rights and civil liberties in the UK
Human rights and civil liberties in the UKHuman rights and civil liberties in the UK
Human rights and civil liberties in the UKKatie B
 
Russian revolution essay plans
Russian revolution essay plansRussian revolution essay plans
Russian revolution essay plansKatie B
 
Russia 1917 41 revision notes
Russia 1917 41 revision notesRussia 1917 41 revision notes
Russia 1917 41 revision notesKatie B
 
Bacteria and viruses
Bacteria and virusesBacteria and viruses
Bacteria and virusesKatie B
 
Photosynthesis
PhotosynthesisPhotosynthesis
PhotosynthesisKatie B
 
Uses of buffers
Uses of buffersUses of buffers
Uses of buffersKatie B
 

Plus de Katie B (20)

GCSE Chemistry Revision - Air and Air Pollution
GCSE Chemistry Revision - Air and Air PollutionGCSE Chemistry Revision - Air and Air Pollution
GCSE Chemistry Revision - Air and Air Pollution
 
A Brief Introduction to Mannose-Binding Lectin (MBL) and its Clinical Signifi...
A Brief Introduction to Mannose-Binding Lectin (MBL) and its Clinical Signifi...A Brief Introduction to Mannose-Binding Lectin (MBL) and its Clinical Signifi...
A Brief Introduction to Mannose-Binding Lectin (MBL) and its Clinical Signifi...
 
How Complement System Works (Lectin Pathway)
How Complement System Works (Lectin Pathway)How Complement System Works (Lectin Pathway)
How Complement System Works (Lectin Pathway)
 
Review of the Literature on Media Representations of the Human Genome Project
Review of the Literature on Media Representations of the Human Genome ProjectReview of the Literature on Media Representations of the Human Genome Project
Review of the Literature on Media Representations of the Human Genome Project
 
ANT presentation
ANT presentation ANT presentation
ANT presentation
 
NDNAD notes
NDNAD notesNDNAD notes
NDNAD notes
 
Review of Santos et al. 2013 paper
Review of Santos et al. 2013 paperReview of Santos et al. 2013 paper
Review of Santos et al. 2013 paper
 
Social Science, Health and Medicine Foundations exam revision
Social Science, Health and Medicine Foundations exam revisionSocial Science, Health and Medicine Foundations exam revision
Social Science, Health and Medicine Foundations exam revision
 
Why has Political Attention towards Bioweapons and Biosecurity Increased?
Why has Political Attention towards Bioweapons and Biosecurity Increased?Why has Political Attention towards Bioweapons and Biosecurity Increased?
Why has Political Attention towards Bioweapons and Biosecurity Increased?
 
The era of the second world war
The era of the second world warThe era of the second world war
The era of the second world war
 
Concorde
ConcordeConcorde
Concorde
 
BBC Broadcasting House
BBC Broadcasting HouseBBC Broadcasting House
BBC Broadcasting House
 
Lord Palmerston
Lord PalmerstonLord Palmerston
Lord Palmerston
 
Is the CPS successful?
Is the CPS successful?Is the CPS successful?
Is the CPS successful?
 
Human rights and civil liberties in the UK
Human rights and civil liberties in the UKHuman rights and civil liberties in the UK
Human rights and civil liberties in the UK
 
Russian revolution essay plans
Russian revolution essay plansRussian revolution essay plans
Russian revolution essay plans
 
Russia 1917 41 revision notes
Russia 1917 41 revision notesRussia 1917 41 revision notes
Russia 1917 41 revision notes
 
Bacteria and viruses
Bacteria and virusesBacteria and viruses
Bacteria and viruses
 
Photosynthesis
PhotosynthesisPhotosynthesis
Photosynthesis
 
Uses of buffers
Uses of buffersUses of buffers
Uses of buffers
 

Dernier

social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajanpragatimahajan3
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfchloefrazer622
 
fourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingfourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingTeacherCyreneCayanan
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhikauryashika82
 
9548086042 for call girls in Indira Nagar with room service
9548086042  for call girls in Indira Nagar  with room service9548086042  for call girls in Indira Nagar  with room service
9548086042 for call girls in Indira Nagar with room servicediscovermytutordmt
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13Steve Thomason
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3JemimahLaneBuaron
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Krashi Coaching
 
Class 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdfClass 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdfAyushMahapatra5
 
Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Disha Kariya
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...christianmathematics
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxheathfieldcps1
 
IGNOU MSCCFT and PGDCFT Exam Question Pattern: MCFT003 Counselling and Family...
IGNOU MSCCFT and PGDCFT Exam Question Pattern: MCFT003 Counselling and Family...IGNOU MSCCFT and PGDCFT Exam Question Pattern: MCFT003 Counselling and Family...
IGNOU MSCCFT and PGDCFT Exam Question Pattern: MCFT003 Counselling and Family...PsychoTech Services
 
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...fonyou31
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfAdmir Softic
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpinRaunakKeshri1
 

Dernier (20)

social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajan
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdf
 
fourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingfourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writing
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
9548086042 for call girls in Indira Nagar with room service
9548086042  for call girls in Indira Nagar  with room service9548086042  for call girls in Indira Nagar  with room service
9548086042 for call girls in Indira Nagar with room service
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13
 
Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
 
Class 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdfClass 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdf
 
Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..
 
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
IGNOU MSCCFT and PGDCFT Exam Question Pattern: MCFT003 Counselling and Family...
IGNOU MSCCFT and PGDCFT Exam Question Pattern: MCFT003 Counselling and Family...IGNOU MSCCFT and PGDCFT Exam Question Pattern: MCFT003 Counselling and Family...
IGNOU MSCCFT and PGDCFT Exam Question Pattern: MCFT003 Counselling and Family...
 
Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1
 
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpin
 

Additional Mathematics Revision

  • 1. Formulae in other document but otherwise should be all covered...
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.  
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29. y = x ³ y = x ² y = x ⁴ X Gradient 1 2 2 4 3 6 4 8 5 10 x 2x X Gradient 1 4 2 32 3 108 4 256 5 500 x 4x³ X Gradient 1 3 2 12 3 27 4 48 5 75 x 3x²
  • 30.
  • 31.  
  • 32. d dx d dx d dx d dx 1 2 √ x
  • 33.
  • 34.
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40.
  • 41. dy dx dy dx dy dx d²y dx² d²y dx² d²y dx² d³y dx³ = 0 = 0 = 0 = 0 < 0 > 0 ≠ 0 At point P Remember to physically do and say each step in a question including saying if a certain point is a max., min. or point of inflection. Maximum point Minimum point and (doesn’t change sign on either said of P) Point of inflection