If and , where , then in the interval
is increasing function
Explanation for the correct option.
Step 1. Find the nature of the function .
For the function , the derivative is given as:
In the interval it is known that and so
So, in the interval it is found that and so the function is increasing in that interval.
Step 2. Find the nature of the function .
For the function , the derivative is given as:
In the interval it is known that . So
So in the interval , and so and thus the function is decreasing in that interval.
So in the interval , function is increasing while the function is decreasing.
Hence, the correct option is D.