Evaluate if and the derivative is obtained from .

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

Problem

Evaluate g′(2)g'(2) if g(x)=x4g(x)=x^{4} and the derivative is obtained from g′(x)=lim⁡h→0g(x+h)−g(x)h\displaystyle g'(x)=\lim_{h\to0}\dfrac{g(x+h)-g(x)}{h}. (a) 1616 (b) 6464 (c) 3232 (d) 88

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