SOLUTION: Hi, I wanted to check my answer to this problem. Use the limit definition to find the following derivatives. 1) f(x) = 3x^2 For this problem I got f'(x)=6x. Is this

Algebra ->  College  -> Linear Algebra -> SOLUTION: Hi, I wanted to check my answer to this problem. Use the limit definition to find the following derivatives. 1) f(x) = 3x^2 For this problem I got f'(x)=6x. Is this      Log On


   

Question 645565: Hi, I wanted to check my answer to this problem.
Use the limit definition to find the following derivatives.
1) f(x) = 3x^2
For this problem I got f'(x)=6x. Is this correct?
2) h(x) = x^3
This problem, I couldn't get. I think you have to multiply x^2+2xh+h^2(x+h). Is this right.

Your help is appreciated. Thanks!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note: Power rule: If f(x) = x%5En   ⇒     f '(x) =+nx%5E%28n-1%29

1) f(x) = 3x^2  ⇒ f'(x)=6x, Yes!

2) h(x) = x^3   ⇒ h '(x) = 3x^2