cwrw238
  • cwrw238
Find f' in terms of g' if f(x) = g(x + g(a)).
Mathematics
jamiebookeater
  • jamiebookeater
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Agent47
  • Agent47
is a a constant?
cwrw238
  • cwrw238
yes
Agent47
  • Agent47
f'(x)=g'(x+g(a))*(1+0)=g'(x+g(a))

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Agent47
  • Agent47
unless I'm doing something wrong.
cwrw238
  • cwrw238
i'm studying calculus at the moment i have a mental block with this one.
Agent47
  • Agent47
lol this is one of those questions that looks too easy to be true, but I think that is the answer.
Agent47
  • Agent47
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))
cwrw238
  • cwrw238
yes derivaivte of x is 1 and that of a constant is 0 so it seems right...
Agent47
  • Agent47
http://brownsharpie.courtneygibbons.org/wp-content/comics/2006-12-18-chain-rule-baby.jpg
cwrw238
  • cwrw238
lol! - like that one
cwrw238
  • cwrw238
as you say its easy - just use chain rule ty

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