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Math Help - [SOLVED] Find f '(x) and f '' (x)

  1. #1
    Junior Member moonman's Avatar
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    [SOLVED] Find f '(x) and f '' (x)

    Find f '(x) and f '' (x)

    I believe this states find f prime and f double prime.

    f(x) = x / 3 + e^(x)

    Okay so I know that the derivative of e ^(x) is e^x
    and that the derivative of x is 0 right?
    Okay and I'm going to use the quotient rule:

    f(x) / g(x) = [ g(x)f '(x) - f(x) g' g(x) ] / [ (g(x))^(2) ]
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  2. #2
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    Quote Originally Posted by moonman View Post
    Find f '(x) and f '' (x)

    I believe this states find f prime and f double prime.

    f(x) = x / 3 + e^(x)

    Okay so I know that the derivative of e ^(x) is e^x
    and that the derivative of x is 0 right?
    Okay and I'm going to use the quotient rule:

    f(x) / g(x) = [ g(x)f '(x) - f(x) g' g(x) ] / [ (g(x))^(2) ]
    \frac{d}{dx}(x)=1

    f'(x)=\frac{(3+e^{x})\cdot 1-x(e^{x})}{(3+e^{x})^2}=\frac{x+(1-x)e^{x}}{(3+e^{x})^2}
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