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Math Help - Help finding the critical numbers..

  1. #1
    Junior Member
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    Help finding the critical numbers..

    I need to find the critical numbers for the following function..

    f(x) = x^(2) e^(3x)

    and the derivative is..

    f'(x) = 2xe^(3x) + 3x^(2)e(3x)
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Manizzle View Post
    I need to find the critical numbers for the following function..

    f(x) = x^(2) e^(3x)

    and the derivative is..

    f'(x) = 2xe^(3x) + 3x^(2)e(3x)
    Solve the derivative for zero...remembering that f(x)\cdot{g(x)}=0\Rightarrow{g(x)=0\vee{f(x)=0}} and remember that e^x\ne{0}\quad\forall{x\in\mathbb{R}}
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