Question

Complicated Derivative Problem:

Answer 1

h(x) = f^3(g(x))

h'(x) = 3f^2(g(x)) * g'(x) by the chain rule

Answer 2

close

Answer 3

h(x) = (f(g(x)))^3

h'(x) = 3(f(g(x)))^2 * f'(g(x)) * g'(x)

Answer 4

yup okay I got that far

Answer 5

wait...oh I see i made an error when using the chain rule

Answer 6

h'(1) = 3(f(g(1)))^2 * f'(g(1)) * g'(1)

h'(1) = 3(f(3))^2 * f'(3) * 3

h'(1) = 3(2)^2 * 5 * 3

Answer 7

h'(1) = 180 by chance?

Answer 8

thats strange, I got 300, let me check my work :O

Answer 9

isnt g'(1)=5?

Answer 10

instead of 3?

Answer 11

yeah, trying to flip back and forth between windows tends to mess me up alot more than usual

Answer 12

lol XD sorry about that

Answer 13

concept is good tho :)

Answer 14

Thanks for the help!