Question

Given the function [question in image] find and simplify the difference quotient

Answer 1

Explanation:

Difference quotient formula is f(x+h) - f(x) / h

(-3 - 2(x+h)²) - (-3 - 2x²) / h

(-3 - 2(x²+2xh+h²) - (-3 - 2x²) / h

(-3 - 2x² - 4xh - 2h²) - (-3 - 2x²) / h

-4xh - 2h² / h

h(-4x - 2h) / h

-4x-2h