Question

If F(x) = f(g(x)), where f(-2)=8, f'(5)=3, g(5)=-2, and g'(5)=6, find F'(5).

Answer 1

write out the chain rule for F(x):

F ' (x) =

Answer 2

F'(x) = f'(g(x)) * g'(x)

Answer 3

so,
F'(5) = f'(g(5)) * g'(5)
= f'(-2) * 6
= ???

are the given values correct?

Answer 4

yup got it thank you

Answer 5

is it supposed to be f'(-2) = 8 and not f(2) = 8?

Answer 6

no f(-2)=8

Answer 7

then, i'm (we're) stuck here: f'(-2) * 6

Answer 8

i think we're missing something

Answer 9

no it's 18

Answer 10

f'(-2) = 4

Answer 11

oh sorry i'd left that out

Answer 12

ah... ok... :)

Answer 13

i thought I was forgetting my calc...