Find the difference quotient and simplify your answer. Step by step. f(x) = 3x2 − 6x, f(x + h) − f(x) h , h �‚ 0

Answer 1

f(x)=3x^2-6x
f(x+h)=3(x+h)^2 -6(x+h)
= 3x^2+6xh+3h^2-6x-6h

so f(x+h)-f(x)= 0x^2-0x+6xh-3h^2-6h

dividing that by h then
6x-3h-6
as h approaches zero, then the difference quotent= 6x-6