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Math Help - Need help in finding a derivative

  1. #1
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    Need help in finding a derivative

    Just wrote a test and this question was on my test

    find the derivative of

    Y= (pi)(e^5x^2-e)
    *just wanna know the answer (cuz i think i messed up on this question)
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  2. #2
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    Use the chain rule!

     f' (x) = \pi e^{5x^2-e} \cdot (10x)
    Last edited by Chop Suey; July 11th 2008 at 09:21 AM. Reason: correction
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by supersaiyan View Post
    Just wrote a test and this question was on my test

    find the derivative of

    Y= (pi)(e^5x^2-e)
    *just wanna know the answer (cuz i think i messed up on this question)
    to explain/summarize Chop Suey's solution:

    by the chain rule:

    y = e^{f(x)} \implies \frac {dy}{dx} = f'(x) \cdot e^{f(x)}

    and, of course, \pi is a constant, and we know that \frac d{dx}(cf(x)) = c \frac d{dx}f(x)

    so what you have is y = c \cdot e^{f(x)} \implies \frac {dy}{dx} = c \cdot f'(x) \cdot e^{f(x)}
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