This document discusses derivatives and their properties. It defines derivatives as the slope of the tangent line to a function using the limit definition. It then lists the derivatives of common trigonometric functions like sine, cosine, and tangent. Higher order derivatives are introduced as taking additional derivatives of a function. Common derivative rules like the power, chain, quotient, and product rules are listed as methods for finding derivatives.

1. Derivatives PowerPoint By: Samantha Hitchcock

2. DERIVATIVE

3. SLOPE OF A TANGENT LINE

4. LIMIT DEFINITION OF A DERIVATIVE

5. Lim f(x+h)-f(x)h0 h

6. DERIVATIVE OF TRIG FUNCTIONS

7. Derivative f(x)=sinx f(x)=cosx f(x)=tanx f(x)=secx f(x)=cscx f(x)=cotx Function f(x)=cosx f(x)=-sinx f(x)=cotx f(x)=secxtanx f(x)=-cscxcotx f(x)=-cscx

8. HIGHER ORDER DERIVATIVES

9. THE DERIVATIVE OF THE FUNCTION THE SECOND DERIVATIVE THE THIRD DERIVATIVE

10. METHODS

11. POWER RULE CHAIN RULE QUOTIENT RULE PRODUCT RULE IMPLICIT