Solve (-sqrt{x})^2

$$( - \sqrt { x } ) ^ { 2 }$$

Evaluate

$$x$$

Solution Steps

Calculate -\sqrt{x} to the power of 2 and get \left(\sqrt{x}\right)^{2}.

$$\left(\sqrt{x}\right)^{2}$$

Calculate \sqrt{x} to the power of 2 and get x.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Calculate -\sqrt{x} to the power of 2 and get \left(\sqrt{x}\right)^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(\sqrt{x}\right)^{2})$$

Calculate \sqrt{x} to the power of 2 and get x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x)$$

The derivative of ax^{n} is nax^{n-1}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

For any term t except 0, t^{0}=1.

$$1$$