# Difference Quotient problem...

• September 6th 2007, 03:52 PM
mer1988
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.
• September 6th 2007, 03:57 PM
Krizalid
Is it $f(x)=x^2$ or $f(x)=x^x$?
• September 6th 2007, 04:01 PM
mer1988
oh sorry...its x^x not x squared
• September 6th 2007, 05:32 PM
topsquark
Quote:

Originally Posted by mer1988
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