anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
how far did you get?
anonymous
  • anonymous
well i mean i know what to plug in and stuff just not sure how to find the derivative of h(x)
jim_thompson5910
  • jim_thompson5910
I'm assuming you have learned about the chain rule?

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anonymous
  • anonymous
would it be g'[f(3x)](f'(3x)) ?
anonymous
  • anonymous
yes 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
  • jim_thompson5910
very close
jim_thompson5910
  • jim_thompson5910
you forgot about the inner most part 3x you derive that to get 3
jim_thompson5910
  • jim_thompson5910
you should get h ' (x) = g ' [f(3x)]*f ' (3x)*3
anonymous
  • anonymous
got it! :D thank you very much :D
jim_thompson5910
  • jim_thompson5910
what result did you get?
jim_thompson5910
  • jim_thompson5910
you should get a single numeric answer

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