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Math Help - Derivative

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    Derivative

    derivative of ( xe^-x)^1/2
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by pageraets View Post
    derivative of ( xe^-x)^1/2
    use the chain rule: \frac d{dx}f(g(x)) = f'(g(x)) \cdot g'(x) (here f(x) = x^{1/2} and g(x) = xe^{-x})

    or, you can distribute the power so you can use the product rule

    note, \left( x e^{-x}\right)^{1/2} = x^{1/2}e^{-x/2}

    can you continue?
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