Applications Of Derivatives Question 330

Question: On the interval $ ( 0,\frac{\pi }{2} ) $ , the function log sin x is

Options:

A) Increasing

B) Decreasing

C) Neither increasing nor decreasing

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Let $ f(x)=\log \sin x\Rightarrow f’(x)=\cot x $

Hence function is increasing on the interval $ ( 0,\frac{\pi }{2} ) $ .