For the function defined 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}+2

defined on the interval

[1,4]

, find the value of

c

(1,4)

at which the instantaneous rate of change equals the average rate of change over

[1,4]