# Evaluate the difference quotient for the given function. Simplify Your answer

• August 31st 2010, 01:56 PM
oneway1225
The directions for the problem are in the topic. The problem is as follows

f(x)=x^3, f(a+h)-f(a)/h

My prof didn't go over this type of problem in class today and it is in our homework. I just need a quick run through of how to solve it. Thanks!
• August 31st 2010, 02:22 PM
Plato
$f(x+h)=(x+h)^3=x^3+3x^2h+3xh^2+h^3$.
Now you finish.
• August 31st 2010, 04:48 PM
oneway1225
Where do the two 3's come from?
• August 31st 2010, 04:56 PM
Defunkt
$(x+h)^3 = (x+h)(x+h)(x+h)$. Open it!
• August 31st 2010, 06:08 PM
Plato
Quote:

Originally Posted by oneway1225
Where do the two 3's come from?

Frankly, if you really have to ask that question then you have no reason to have been asked this question. It is simply over your level of mathematical understanding. If I were you, I would drop back to a lower level course and try to learn the basics.