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Math Help - Right Hand Derivative and Left Hand Derivative

  1. #1
    Senior Member pankaj's Avatar
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    Right Hand Derivative and Left Hand Derivative

    If f(x)=\left(\frac{1-x}{1+x}\right)^{\frac{1}{x}}; x\neq 0

    and f(0)=\frac{1}{e^2}

    Evaluate f_{+}'(0) and f_{-}'(0)
    Last edited by pankaj; August 4th 2009 at 05:01 PM.
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  2. #2
    Junior Member slider142's Avatar
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    The standard definition of a one-sided derivative of f at 0 requires f to have a value at 0, which your f does not. What definition of one-sided derivative are you using? Do you mean the value that the derivative function approaches at 0 (ie., f_{+}'(0) = \lim_{x\rightarrow 0^+} f'(x))?
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  3. #3
    Senior Member pankaj's Avatar
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    Thanks slider142.I have edited my post.
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