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anonymous
 one year ago
f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(3x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1).
x 1 2 3 4 5 6
f(x) 0 3 2 1 2 0
g(x) 1 3 2 6 5 0
f '(x) 3 2 1 4 0 2
g '(x) 1 5 4 3 2 0
anonymous
 one year ago
f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(3x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2 g '(x) 1 5 4 3 2 0

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1how far did you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well i mean i know what to plug in and stuff just not sure how to find the derivative of h(x)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm assuming you have learned about the chain rule?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it be g'[f(3x)](f'(3x)) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes i have just not sure about its specifics , would i have to do a double chain rule here because of the f'(3x)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you forgot about the inner most part 3x you derive that to get 3

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you should get h ' (x) = g ' [f(3x)]*f ' (3x)*3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0got it! :D thank you very much :D

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what result did you get?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you should get a single numeric answer
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