# How to use the difference quotient..

• Nov 27th 2008, 01:58 PM
Manizzle
How to use the difference quotient..
How do i use the difference quotient to find the first derivative of $f(x) = x^{5}$?
• Nov 27th 2008, 02:13 PM
Mathstud28
Quote:

Originally Posted by Manizzle
How do i use the difference quotient to find the first derivative of $f(x) = x^{5}$?

That is what I call tedious, you merely have to find

$\lim_{\Delta{x}\to{0}}\frac{\left(x+\Delta{x}\righ t)^5-x^5}{\Delta{x}}$

Give it a try and report back...the answer should be $5x^4$