Question

the derivative of 4x^2 - 2x
I need to know how to solve this using the derivative as a function... a.k.a. f(x+h)−f(x)/h

Answer 1

by the definition you mean...

Answer 2

yes

Answer 3

easy, just expand the (x+h) parts

Answer 4

yes, but do i just treat (x + h) as x?

Answer 5

top will be
4(x+h)^2-2(x+h)-(4x^2-2x)
all over h
do the algebra, then the limit will give the answer

Answer 6

ok, that was what i needed thanks

Answer 7

welcome :)

Answer 8

\[\lim_{h \rightarrow 0} {[4(x+h)^{2}-2(x+h)-(4x ^{2}-2x)] \over h }\]