please solve rd sharma class 12 chapter 16 Increasing and Decreasing Functions exercise 16.1 , question 2 maths textbook solution
Answer:
is decreasing on
if
Hint:
Given:
Here given that,
To prove:
Function is increasing on
, if
and decreasing on
, if
Solution:
Here we have two cases:
Case I: when
Let us consider
Such that
Thus, is increasing in
if
Case II: when
We have
We know that
Therefore,
When , then
Let
Taking log on both sides,
Thus, is decreasing on
if