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Math Help - Derivatives

  1. #1
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    Derivatives

    When would you use

    \frac{d}{dx}(a^{u(x)}) = (lna)(a^{u(x)})(\frac{du}{dx})

    and

     \frac{d}{dx}(a^{u(x)}) = a^{u}(\frac{du}{dx})?

    a = constant

    Aren't they equivalent to one another? Would I get the same result using either one?
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  2. #2
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    use the first one for a \neq e (although it will still work for a = e)

    use the second one for a = e
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