Q 15 - Calculus

Question

Show that the minimal value of

Step-by-Step Solution

Answer

Minimal value is 

Step 1: Approach

To show the minimal value of the given expression, take the derivative with respect to the variable, set it equal to zero, and verify the critical point is a minimum using the second derivative test.

Step 2: Compute the minimum

Solve \(f'(x) = 0\) for the critical point(s), evaluate \(f\) at these points, and confirm via \(f''(x) > 0\) that it is indeed a minimum.