Derivative of y=x²√1-x²

1. Differentiate $- x^{2} + \sqrt{1} x^{2}$ term by term:

   1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: $x^{2}$ goes to $2 x$

      So, the result is: $2 x$

   2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: $x^{2}$ goes to $2 x$

      So, the result is: $- 2 x$

   The result is: $0$

The answer is:

$$0$$