Let be defined as:
Let . Then is equal to:
Determine the value of
Step 1; Determine
If we differentiate and we get as positive, it means that the function is increasing with the increase in the value of .
Differentiating :
We can observe, that is negative when .
Step 2: Determine the critical point when :
So, is positive at and , but our domain says .
Hence, is positive at
Similarly,
So, is positive at and , but the domain says:
Therefore, is positive at
Hence, the value will increase at
Therefore, the correct answer is Option (A).