Let . Simplify the average rate of change of on the interval where…

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

Problem

Let p(x)=x3−6xp(x)=x^{3}-6x. Simplify the average rate of change of pp on the interval [a,a+h][a,a+h] where h≠0h\neq 0. (a) 3a2+3ah−63a^{2}+3ah-6 (b) 3a2+3ah+h2−6h3a^{2}+3ah+h^{2}-6h (c) 3a2+3ah+h2−63a^{2}+3ah+h^{2}-6 (d) 3a2−63a^{2}-6

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