Question

Find and simplify the difference quotient frac{f(x+h) - f(x)}{h}, h eq 0 for the given function. f(x) = 4x^2 frac{f(x+h) - f(x)}{h} = oxed{} (Simplify your answer.)

          Find and simplify the difference quotient frac{f(x+h) - f(x)}{h}, h 
eq 0 for the given function.
f(x) = 4x^2
frac{f(x+h) - f(x)}{h} = oxed{} (Simplify your answer.)

$Find and simplify the difference quotient fracf(x+h) - f(x)h, h eq 0 for the given function. f(x) = 4x^2 fracf(x+h) - f(x)h = oxed (Simplify your answer.)$

Added by Vicente F.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Nicole Hoffman

04/15/2022

Step 1

Step 1: Calculate f(x + h): \[ f(x + h) = 4(x + h)^2 - (x + h)^2 \] \[ f(x + h) = 4(x^2 + 2xh + h^2) - (x^2 + 2xh + h^2) \] \[ f(x + h) = 4x^2 + 8xh + 4h^2 - x^2 - 2xh - h^2 \] \[ f(x + h) = 3x^2 + 6xh + 3h^2 \] Show more…

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