SOLUTION: If f(x)= 2x^3 - x, find [f(x+h)-f(x)]/h Please, i'm stuck.

Question 1087244: If f(x)= 2x^3 - x, find [f(x+h)-f(x)]/h
Please, i'm stuck.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The first thing we need to do is find . We do this by replacing every copy of x with x+h

Highlighting the x terms we will replace

Replacing those terms with x+h

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So we have

Let's expand that out and simplify

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Now we can compute the difference quotient

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So the final answer is

Side Note: After this step is reached, you can plug in h = 0 to find the derivative of f(x). This topic probably hasn't come up yet in your course, but it definitely will come up in calculus.
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