SOLUTION: (f(x+h)-f(x))/(h) Let f(x) = -2x^(2)- x + 3 h ≠ 0 Find and simply the difference quotient

SOLUTION: (f(x+h)-f(x))/(h) Let f(x) = -2x^(2)- x + 3 h ≠ 0 Find and simply the difference quotient

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Question 1202783: (f(x+h)-f(x))/(h) Let f(x) = -2x^(2)- x + 3
h ≠ 0
Find and simply the difference quotient

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Answer: -4x-2h-1

Work Shown:

We first compute f(x+h)

Each x replaced with (x+h).

FOIL rule

Now subtract off f(x)

The last step is to divide over h.

Note: As h approaches 0, then approaches which is the derivative of .

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