For , find…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For

f(x)=x^{3}-3x+1

, find

\displaystyle \lim_{h\to0}\frac{f(2+h)-f(2)}{h}

. (a)

12

(b)

6

(c)

9

(d)

15

Related theory

Derivative Foundations
Differentiation from first principles
Derivatives
Limits and Derivatives

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