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

## 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.

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.

You are trying to look for the derivative? Or just simplifying the equation?

I already know the derivative, so just simplifying the equation.

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.

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:
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.

Ok, thank you.
The text passage contains a mathematical question related to simplifying an expression for the difference quotient of a function, and an answer to that question is provided.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Derivative f(x)=x^3, f(a+h)-f(a)/h

## 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.

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.

You are trying to look for the derivative? Or just simplifying the equation?

I already know the derivative, so just simplifying the equation.

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.

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:
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.

Ok, thank you.
user
The text passage contains a mathematical question related to simplifying an expression for the difference quotient of a function, and an answer to that question is provided.

TYPE: SINGLE_QUESTION_WITH_ANSWER