SOLUTION: Compute and simplify the difference quotient (f(x+h)-f(x))/h, h=/0
f(x)= 3x^2 +5x
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Question 1126442: Compute and simplify the difference quotient (f(x+h)-f(x))/h, h=/0
f(x)= 3x^2 +5x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Given function
Place parenthesis around each x. The parenthesis will help with FOIL and distributive steps later on.
Replace every x with x+h
FOIL
Distribute
------------------------------
Stuff in red is f(x+h); stuff in green is f(x)
Distribute
Combine like terms
Factor out h
Divide and cancel
Final Answer
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