Differentiability

We are asked to find the minimum of the function . ### Step 1: Understand the Absolute Value Function The function represents the distance between and on the real number line. The minimum value of the absolute value function occurs when the expression inside the absolute value is zero. ### Step 2: Set the Inside of the Absolute Value Equal to Zero To minimize , we set : Thus, the minimum occurs at . The minimum value of the function is: Thus, the correct answer is: