For the function on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For the function

p(x)=x^{3}-3x^{2}

on the interval

[-1,3]

, find all values

c

(-1,3)

such that

p'(c)

equals the average rate of change of

p

over

[-1,3]