Given that and

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

Problem

Given that f′(2)=6f'(2)=6 and f′(1)=4f'(1)=4 , then lim⁡h→0f(2h+2+h2)−f(2)f(h−h2+1)−f(1)=\lim_{h \rightarrow 0} \frac{f(2h+2+h^2) - f(2)}{f(h-h^2+1) - f(1)} = (a) Does not exist (b) Is equal to −3/2-3/2 (c) Is equal to 3/23/2 (d) Is equal to 3

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