For on , which of the following values of in satisfies (f'(c)= f( )-f(0) -0…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

For

f(x)=\sin x

[0,\pi]

, which of the following values of

c

(0,\pi)

satisfies

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

? (a)

\dfrac{3\pi}{4}

(b)

\dfrac{\pi}{4}

(c)

\dfrac{\pi}{2}

(d)

\pi