If , for every real , then the minimum value of
is equal to
Explanation for the correct option:
Step 1: Find the and critical point:
Given that,
Differentiate the above equation with respect to .
For critical point of ,
Step 2: Find the and check whether it is minimum or not:
At, ,
Therefore, there is only one point of minima at ,
Step 3: Finding the minimum value of :
Now, substitute in the given equation, we get the minimum value
Hence, the correct option is D.