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

  • #1

Homework Statement



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

Homework Equations


I am having troubles at the moment with the process, I am getting a^3+3a^2h+3ah^2+h^3-a^3.

The Attempt at a Solution



I have simplified the equation further and got 3a^2+3ah+h^2, help would be appreciated. Thanks for reading.
 

Answers and Replies

  • #2
109
0
You are trying to look for the derivative? Or just simplifying the equation?

You will need to get the limit as h approaches 0 for derivative.
 
  • #3
You are trying to look for the derivative? Or just simplifying the equation?

I already know the derivative, so just simplifying the equation.
 
  • #4
109
0
If you just need to simplify the equation f(a+h)-f(a)/h, then you have already done so by getting 3a^2+3ah+h^2 as the answer.
 
  • #5
If you just need to simplify the equation f(a+h)-f(a)/h, then you have already done so by getting 3a^2+3ah+h^2 as the answer.

http://img192.imageshack.us/f/derivative.jpg/" [Broken] Can you check my math? Please.
 
Last edited by a moderator:
  • #6
109
0
It should be fine.... According to my education system ><

For me, i'll straight away use the definition of derivative
f'(x) = limh->0 f(a+h)-f(a)/h

Would not try to derive all the way from (f(b)-f(a))/(b-a), too time consuming.
 
  • #7
Ok, thank you.
 

Related Threads on Derivative f(x)=x^3, f(a+h)-f(a)/h

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
8
Views
5K
Replies
3
Views
1K
  • Last Post
Replies
5
Views
6K
Replies
1
Views
2K
Replies
9
Views
5K
  • Last Post
Replies
2
Views
2K
Top