Derivative of sqrt(x)^2-2*x

1. Differentiate $\left(\sqrt{x}\right)^{2} - 2 x$ term by term:

   1. Let $u = \sqrt{x}$.

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

   3. Then, apply the chain rule. Multiply by $\frac{d}{d x} \sqrt{x}$:

      1. Apply the power rule: $\sqrt{x}$ goes to $\frac{1}{2 \sqrt{x}}$

      The result of the chain rule is:

      $$1$$

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

      1. Apply the power rule: $x$ goes to $1$

      So, the result is: $-2$

   The result is: $-1$

The answer is:

$$-1$$