A community for students. Sign up today

Here's the question you clicked on:

anonymous 4 years ago Can anyone show the work for using the difference quitent for x^3

• This Question is Closed
1. anonymous

$f(x)=x^3, \frac{f(a+h)-f(a)}{h}$

2. anonymous

(f(a+h)-f(a))/h =((a+h)^3-a^3)/h =(h^3+3h^2a+3ha^2+a^3-a^3)/h =(h^3+3h^2a+3ha^2)/h =h(h^2+3ha+3a^2)/h =h^2+3ha+3a^2 its usually used when h->0 so =3a^2

3. anonymous

*lim h->0

4. anonymous

I came up with 2a^2+2ah+h^2 So now i'm attempting to figure where i went wrong, thanks for the help

5. anonymous

np

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy