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.
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
$\displaystyle f^{\prime}(3) \approx \frac{(3 + h)^{3 + h} - 3^3}{h}$
and use successively smaller values of h.