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

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

17. Prove that the function

f

given by

f(x)=\log |\cos x|

is decreasing on

\left(0, \frac{\pi}{2}\right)

and increasing on

\left(\frac{3 \pi}{2}, 2 \pi\right)