For on the interval

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

Problem

For

f(x)=\sin x

on the interval

[0,\pi]

, which value of

c

(0,\pi)

satisfies

f'(c)=\dfrac{f(\pi)-f(0)}{\pi-0}

? (a)

\dfrac{\pi}{4}

(b)

\dfrac{\pi}{2}

(c)

\dfrac{\pi}{6}

(d)

\dfrac{2\pi}{3}