Solve -y^2-(-x^2)-(-y^2)

$$- y ^ { 2 } - ( - x ^ { 2 } ) - ( - y ^ { 2 } )$$

Evaluate

$$x^{2}$$

Solution Steps

Multiply -1 and -1 to get 1.

$$-y^{2}+x^{2}-\left(-y^{2}\right)$$

Multiply -1 and -1 to get 1.

$$-y^{2}+x^{2}+y^{2}$$

Combine -y^{2} and y^{2} to get 0.

$$x^{2}$$

Differentiate w.r.t. x

$$2x$$

Steps Using Definition of a Derivative

Multiply -1 and -1 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-y^{2}+x^{2}-\left(-y^{2}\right))$$

Multiply -1 and -1 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-y^{2}+x^{2}+y^{2})$$

Combine -y^{2} and y^{2} to get 0.

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

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

$$2x^{2-1}$$

Subtract 1 from 2.

$$2x^{1}$$

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

$$2x$$