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Math Help - Help with Differentiating

  1. #1
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    Help with Differentiating

    F (x) = 5^{-2x^2+x}
    Last edited by wopashui; January 30th 2010 at 04:11 PM.
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  2. #2
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    The general rule for a constant raised to a function of x is:

    if f(x)=a^{g(x)} then

    f'(x) = g'(x) \cdot \ln(a) \cdot a^{g(x)}

    Can you apply the rule?
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  3. #3
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    Quote Originally Posted by wopashui View Post
    F (x) = 5^{-2x^2+x}
    Just apply the following:
    If f(x)=a^{g(x)} where a>0.
    then: f'(x)=a^{g(x)} g'(x) ln(a).
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  4. #4
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    Quote Originally Posted by General View Post
    Just apply the following:
    If f(x)=a^{g(x)} where a>0.
    then: f'(x)=a^{g(x)} g'(x) ln(a).

    can you explain what F (x) is, it's not the same as f (x), isn't it?
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  5. #5
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    Quote Originally Posted by wopashui View Post
    can you explain what F (x) is, it's not the same as f (x), isn't it?
    It is exactly the same. We could also write the function as \phi (x), \epsilon (x), \mu (x), g(x), G(x), u(x), V(x) etc etc...
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