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Math Help - Derivatives of Exponential and Logarithmic Functions

  1. #1
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    Derivatives of Exponential and Logarithmic Functions

    Ok so i'm having some problems with problems like:

    y=e^square root x

    y=xe^2x

    y=e^-x^2/x

    can you give me some advice on how to remember the rules to solve these and maybe show me how to solve one? thanks
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  2. #2
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    Exponentials with base "e" are my favorite derivatives (and anti-derivatives).

    Use the chain rule on all of these, remembering that the derivative of e to any variable is just e to that variable times the derivative of the variable. So if F(x) is equal to e raised to something:
    F'(x) = G'(x)e^{G(x)}
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