How to evaluate a difference quotient

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How to Solve the Difference Quotient

We first calculate f (x + h). f (x + h) = 2 (x + h)^2 + (x + h) - 2. We now substitute f (x + h) and f (x) in the difference quotient. \dfrac {f (x + h) - f (x)} {h} = \dfrac { 2 (x + h)^2 + (x + h) - 2 - ( 2 x^2 + x -

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Difference Quotient

Evaluate f (x) at x=3: f (3) = 3 2 − 2×3 + 1 = 4. Now for f (x+Δx): f (3.1) = (3.1) 2 − 2×3.1 + 1 = 4.41. And the Difference Quotient is: f (3.1) − f (3) 0.1 = 4.41 − 4 0.1 = 0.41 0.1 = 4.1. As Δx heads
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