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Mathematics 13 Online
OpenStudy (anonymous):

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

OpenStudy (turingtest):

by the definition you mean...

OpenStudy (anonymous):

yes

OpenStudy (turingtest):

easy, just expand the (x+h) parts

OpenStudy (anonymous):

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

OpenStudy (turingtest):

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

OpenStudy (anonymous):

ok, that was what i needed thanks

OpenStudy (turingtest):

welcome :)

OpenStudy (anonymous):

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

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