Differentiate with respect x

1/2 x^2 -1/2x2

Differentiating with respect to x, we get:

d/dx (1/2x^2) = 1/2 * 2x = x

d/dx (-1/2x^2) = -1/2 * 2x = -x

Therefore, the derivative of 1/2x^2 - 1/2x^2 with respect to x is:

x - (-x) = 2x