SOLUTION: Given f(x)=(x^3)+1, find [f(x+h)-f(x)]/h

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Question 92634: Given f(x)=(x^3)+1, find [f(x+h)-f(x)]/h
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression



Plug in f%28x%2Bh%29=%28x%2Bh%29%5E3%2B1 and f%28x%29=x%5E3%2B1


Foil/Expand %28x%2Bh%29%5E3%2B1



Combine like terms (i.e. combine %28x%5E3%2B1%29-%28x%5E3%2B1%29 to get 0)

Factor out an h

Divide h%2Fh to get 1

Simplify