Write a difference quotient that can be used to estimate the instantaneous rate of change of y=x^2 at x=-3.

Question

Please explain in detail please and thank you.

Answer 1

Review the section in your text. The difference quotient is
(f(-3+h) - f(-3))/h
= ((-3+h)^2 - (-3)^2)/h
= (9-6h+h^2 - 9)/h
= -6+h