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Math Help - [SOLVED] Chain Rule

  1. #1
    trunks super saiyan
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    [SOLVED] Chain Rule

    Let f:R ---> R be a differentiable funtion. For all real values of x, the derivative of f(e^(2x)) with respect to x will be equal to
    A. 2e^(2x) f'(x)
    B. e^(2x) f'(x)
    C. 2e^(2x) f'(e^2x)
    D. 2f'(e^(2x))
    E. f'(e^(2x))

    "i put E. down but some say it is c, which is correct and y?
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  2. #2
    MHF Contributor
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    Quote Originally Posted by trunks super saiyan
    Let f:R ---> R be a differentiable funtion. For all real values of x, the derivative of f(e^(2x)) with respect to x will be equal to
    A. 2e^(2x) f'(x)
    B. e^(2x) f'(x)
    C. 2e^(2x) f'(e^2x)
    D. 2f'(e^(2x))
    E. f'(e^(2x))

    "i put E. down but some say it is c, which is correct and y?
    I think I saw you post this on physicsforum.com.

    The answer is C, because of the chain rule. Any time you have a composite function, the derivative is taken like so: \frac{d(f(g(x))}{dx}=f'(g(x))*g'(x)

    Your question follows the same logic. It is C.

    Jameson
    Last edited by Jameson; November 4th 2005 at 11:22 AM.
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