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Homework Help: Exponential derivatives

  1. Aug 27, 2007 #1
    Hi
    Can someone please tell me what the name of the method used to find the derivative of eponential functions is? eg. e^.5x the derivative is .5e^.5x
    Can you also give me the rule. eg. dy/dx=du/dv x dy/dx
     
  2. jcsd
  3. Aug 27, 2007 #2

    cristo

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    1. I'm not sure that it has a name-- it's just the derivative of the exponential function!

    2. I don't know what you mean. Could you expand a little?
     
  4. Aug 27, 2007 #3
    I have not heard of any 'named' method specifically for finding the derivatives of exponential functions, but I think what you maybe looking for is the Chain Rule.

    ???
     
  5. Aug 27, 2007 #4
    [tex]\frac{d}{dx} e^{f(x)}=\frac{df}{dx}e^{f(x)}[/tex]
     
  6. Aug 27, 2007 #5

    EnumaElish

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    In general, d(a^x)/dx = Log(a) a^x.

    Let f(x) = a^x, then Log(f(x)) = x Log(a). Differentiating, f'(x)/f(x) = Log(a) or f'(x) = Log(a) f(x).
     
    Last edited: Aug 27, 2007
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