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Math Help - Difference Quotient problem...

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    Difference Quotient problem...

    Estimate f '(3) for f(x)=xx by substituting smaller and smaller values of h into the difference quotient. (Try h = 0.1, 0.01, 0.001, 0.0001, 0.00001, ...) Give your final answer to three decimal places.
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    Is it f(x)=x^2 or f(x)=x^x?
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    oh sorry...its x^x not x squared
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    Quote Originally Posted by mer1988 View Post
    Estimate f '(3) for f(x)=xx by substituting smaller and smaller values of h into the difference quotient. (Try h = 0.1, 0.01, 0.001, 0.0001, 0.00001, ...) Give your final answer to three decimal places.
    What is the problem here? You have
    f^{\prime}(3) \approx \frac{(3 + h)^{3 + h} - 3^3}{h}
    and use successively smaller values of h.

    Just plug-n-chug!

    -Dan
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