# Evaluating the Difference Quotient

1. Sep 8, 2013

### robertmatthew

1. The problem statement, all variables and given/known data
Evaluate the difference quotient of:
f(1+h)-f(1) / h
if f(x)=x3

2. Relevant equations

3. The attempt at a solution
I took the derivative of x3 to be 3x2 and solved for when x=1 (given from the difference quotient) and got 3, but when I enter the value it's marked incorrect. Not sure what I'm doing wrong, unless I just interpreted the question the wrong way.

2. Sep 8, 2013

### pasmith

Calculate $((1 + h)^3 - 1^3)/h$ and do not take the limit $h \to 0$.

3. Sep 8, 2013

### robertmatthew

Ah, okay. Got h^2+3h+3, entered it and it was correct. Thanks! I'm not sure why I thought it was asking for the limit, guess I'm still a little fuzzy from the summer.