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anonymous
 one year ago
If I am given the relationship between g(x) and f(x), how do I find the relationship between g'(x) and f'(x)?
I am given g(x) = f(3x)
What is the relationship between g'(x) and f'(x)?
anonymous
 one year ago
If I am given the relationship between g(x) and f(x), how do I find the relationship between g'(x) and f'(x)? I am given g(x) = f(3x) What is the relationship between g'(x) and f'(x)?

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1well if g(x) = f(x), you agree that g ' (x) = f ' (x) right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the only thing that's different is the 'x' in f(x) is 3x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so we use the chain rule g(x) = f(3x) g ' (x) = f ' (3x)*d/dx[3x] g ' (x) = f ' (3x)*3 g ' (x) = 3 * f ' (3x)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the notation d/dx[3x] means "take the derivative of 3x with respect to x"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh yea, that make a lot of sense. Thank you.
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