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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)?

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  1. jim_thompson5910
    • one year ago
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    well if g(x) = f(x), you agree that g ' (x) = f ' (x) right?

  2. anonymous
    • one year ago
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    Yes

  3. jim_thompson5910
    • one year ago
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    the only thing that's different is the 'x' in f(x) is 3x

  4. jim_thompson5910
    • one year ago
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    so 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)

  5. jim_thompson5910
    • one year ago
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    the notation d/dx[3x] means "take the derivative of 3x with respect to x"

  6. anonymous
    • one year ago
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    Oh yea, that make a lot of sense. Thank you.

  7. jim_thompson5910
    • one year ago
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    no problem

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