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