Solve (-x-7)+(-x-6)

$$(-x-7)+(-x-6)$$

Evaluate

$$-2x-13$$

Solution Steps

Combine -x and -x to get 2\left(-x\right).

$$2\left(-x\right)-7-6$$

Subtract 6 from -7 to get -13.

$$2\left(-x\right)-13$$

Multiply 2 and -1 to get -2.

$$-2x-13$$

Differentiate w.r.t. x

$$-2$$

Steps Using Derivative Rule for Sum

Combine -x and -x to get 2\left(-x\right).

$$\frac{\mathrm{d}}{\mathrm{d}x}(2\left(-x\right)-7-6)$$

Subtract 6 from -7 to get -13.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2\left(-x\right)-13)$$

Multiply 2 and -1 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x-13)$$

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}.

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

Subtract 1 from 1.

$$-2x^{0}$$

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

$$-2$$