Question

Question in pic file below * medal *

Answer 1

@perl @jim_thompson5910 @Nurali

Answer 2

@dan815

Answer 3

@nincompoop

Answer 4

@amistre64 @robtobey

Answer 5

well, what is g'? use the chain rule

Answer 6

can you please show me the steps? :)

Answer 7

you should already know the steps, your material covers chain rule ... tell me what you recall of it

Answer 8

In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions

Answer 9

@amistre64

Answer 10

good, thats something about it :)

the chain rule is performed by taking the product of the derivatives of the nested function

y = f(g(h(x)))

y' = f'(g(h(x))) g'(h(x)) h'(x) x'

Answer 11

now how do we apply this?

we have:

g = f(4x) show me what you think we would do

Answer 12

i think the first step of the equation is to reform it as:
f'(4x)

Answer 13

good, now pop out the innards and derive it

Answer 14

g = f(4x)

g' = f'(4x) * [4x]'

Answer 15

ok so would i just multiply f'(4x) * [4x] ? :)

Answer 16

what is the derivative of 4x?

Answer 17

4

Answer 18

good

g' = 4 f'(4x)

let x=.1 and use the table values to determine g' at x=/1

Answer 19

*** at x=.1

Answer 20

is it -16? :)

Answer 21

yes :)

f'(.4) = -4, so g'(.1) = -16

Answer 22

THANK U!!!!! do u mind helping with 2 more? :)