Question

Find f' in terms of g' if
f(x) = g(x + g(a)).

Answer 1

is a a constant?

Answer 2

yes

Answer 3

f'(x)=g'(x+g(a))*(1+0)=g'(x+g(a))

Answer 4

unless I'm doing something wrong.

Answer 5

i'm studying calculus at the moment i have a mental block with this one.

Answer 6

lol this is one of those questions that looks too easy to be true, but I think that is the answer.

Answer 7

if a is a constant, g(a) is a constant, so when you differentiate
g(x+g(a)), then you just have the derivative of g:
g'(x+g(a)), multiplied by the derivative of the inside, but:
x'=1
g(a)=0, since g(a) is a constant, so all you have left is:
g'(x+g(a))

Answer 8

yes derivaivte of x is 1 and that of a constant is 0 so it seems right...

Answer 9

http://brownsharpie.courtneygibbons.org/wp-content/comics/2006-12-18-chain-rule-baby.jpg

Answer 10

lol! - like that one

Answer 11

as you say its easy - just use chain rule
ty