SOLUTION: The expression f(x+h)-f(x) over h, is called the difference quotient. Determine the difference quotient of f(x)=2x^2-4x. Anybody know the formula for this or what the first step i

Question 297198: The expression f(x+h)-f(x) over h, is called the difference quotient. Determine the difference quotient of f(x)=2x^2-4x.
Anybody know the formula for this or what the first step is at least? Thanks!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The expression f(x+h)-f(x) over h, is called the difference quotient. Determine the difference quotient of f(x)=2x^2-4x.
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Find f(x+h) by subbing x+h for x:
f(x+h) = 2(x+h)^2 - 4(x+h)
= 2(x^2 + 2xh + h^2) - 4x - 4h
f(x+h)= 2x^2 + 4xh + 2h^2 -4x - 4h
f(x) = 2x^2 - 4x
------------------ Subtract
dq*h = 2h^2 + 4xh - 4h
Divide by h:
= 4x - 4 + 2h
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