Prove that the function given by is increasing on and decreasing on .

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

Problem

16. Prove that the function

f

given by

f(x)=\log \sin x

is increasing on

0, \frac{\pi}{2}

and decreasing on

\frac{\pi}{2}, \pi