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Math Help - Calculus-derivatives

  1. #1
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    Calculus-derivatives

    im not sure how to solve this problem:
    1) If g(x) = f(x^2), what is the relationship between g' and f'?

    2) If g(x) = f(3x) what is the relationship between g' and f'?
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  2. #2
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    take the derivative of both sides of each equation ... use the chain rule for the "f" functions.
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  3. #3
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    so it would be like
    g'(x) = f'(3x) * 3
    and g'(x) = f'(x^2) * 2x
    ?
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  4. #4
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    yes.
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