For the function on the interval

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For the function p(x)=x2+2xp(x)=x^2+2x on the interval [−3,1][-3,1], which value of cc in (−3,1)(-3,1) satisfies p′(c)p'(c) equal to the average rate of change of pp on [−3,1][-3,1]? (a) c=−2c=-2 (b) c=0c=0 (c) c=−1c=-1 (d) c=12c=\dfrac12

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