For the function on the interval

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

Problem

For the function

f(x)=\sin x

on the interval

[0,\pi]

, determine all values of

c\in(0,\pi)

for which

f'(c)

is equal to the average rate of change of

f

[0,\pi]