Question

Absolute value of x² differentiable. The absolute value of x² is differentiable at ___________.

A. x = 0 only
B. x > 0
C. x < 0
D. All real values of x

Answer 1

The absolute value of x² is differentiable at all real values of x.

Step-by-step explanation:

The absolute value of x² is differentiable at All real values of x.

The absolute value function, denoted as |x|, is defined as the distance between x and 0 on the number line. When we square x², the result is always positive or zero. Therefore, the absolute value of x² is also always positive or zero and is differentiable for all real values of x.