Solve x^2+0x-15

$${ x }^{ 2 } +0x-15$$

Evaluate

$$x^{2}-15$$

Solution Steps

Anything times zero gives zero.

$$x^{2}+0-15$$

Subtract 15 from 0 to get -15.

$$x^{2}-15$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+0-15)$$

Subtract 15 from 0 to get -15.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-15)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. 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.

$$2x$$