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cwrw238
 3 years ago
Find f' in terms of g' if
f(x) = g(x + g(a)).
cwrw238
 3 years ago
Find f' in terms of g' if f(x) = g(x + g(a)).

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Agent47
 3 years ago
Best ResponseYou've already chosen the best response.3f'(x)=g'(x+g(a))*(1+0)=g'(x+g(a))

Agent47
 3 years ago
Best ResponseYou've already chosen the best response.3unless I'm doing something wrong.

cwrw238
 3 years ago
Best ResponseYou've already chosen the best response.1i'm studying calculus at the moment i have a mental block with this one.

Agent47
 3 years ago
Best ResponseYou've already chosen the best response.3lol this is one of those questions that looks too easy to be true, but I think that is the answer.

Agent47
 3 years ago
Best ResponseYou've already chosen the best response.3if 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
 3 years ago
Best ResponseYou've already chosen the best response.1yes derivaivte of x is 1 and that of a constant is 0 so it seems right...

Agent47
 3 years ago
Best ResponseYou've already chosen the best response.3http://brownsharpie.courtneygibbons.org/wpcontent/comics/20061218chainrulebaby.jpg

cwrw238
 3 years ago
Best ResponseYou've already chosen the best response.1as you say its easy  just use chain rule ty
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