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Scribe 2
1.
1
2.
e
y w da learn To ed ab out le! Ru in a ch he t 2
3.
It states:
3
4.
It basically tells
you how to get the derivative of a function that is composed of other functions. 4
5.
Seems simple
enough... 5
6.
Well let's try it out
6
7.
7
8.
Let's break it up
into its functions 8
9.
9
10.
Outer
function Inner function 10
11.
Outer
function Inner function Our rule: 11
12.
Outer
function Inner function Our rule: let's look at this part 12
13.
Outer
function Inner function Our rule: Now let's look at just this 13
14.
Outer
function Inner function We Know how to work with this 14
15.
Outer
function Inner function Remember: is fed So 15
16.
Outer
function Inner function Remember: 16
17.
Outer
function Inner function Our rule: 17
18.
Outer
function Inner function Our rule: Now let's look at just this 18
19.
Outer function
Inner function 19
20.
20
21.
Or just look at it using power law, a tad bit more complicated but for some reason this is the first that comes to my mind when I look at these (guess I'm just odd)
21
22.
Outer function
Inner function 22
23.
Outer
function Inner function Now let's put it all together 23
24.
Outer
function Inner function together Now let's put it all 24
25.
Outer function
Inner function 25
26.
This will barely ever appear on a test as an answer to multiple
choice 26
27.
This might. The 7 has been factored in and it is no longer color coordinated.
27
28.
Well that wasn't that
hard 28
29.
Now a bunch more
a lot faster 29
30.
30
31.
31
32.
Now we run into a slightly different case
32
33.
3 functions !
33
34.
34
35.
So what do we do?
35
36.
We use chain rule more than
once! 36
37.
From what I saw this is what I think using chain rule more than once is:
37
38.
Following the pattern for four functions: I
think this is right 38
39.
Back to this then
39
40.
40
41.
41
42.
42
43.
And from here it is just grant work
43
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