Differentiate both sides of the equation.

The derivative of with respect to is .

By the Sum Rule, the derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

Since is constant with respect to , the derivative of with respect to is .

Add and .

Reform the equation by setting the left side equal to the right side.

Replace with .

Find dz/dx z=x^2-y^2