Solve (-x-2)+(-x-7)

$$(-x-2)+(-x-7)$$

Evaluate

$$-2x-9$$

Solution Steps

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

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

Subtract 7 from -2 to get -9.

$$2\left(-x\right)-9$$

Multiply 2 and -1 to get -2.

$$-2x-9$$

Differentiate w.r.t. x

$$-2$$

Steps Using Derivative Rule for Sum

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

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

Subtract 7 from -2 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2\left(-x\right)-9)$$

Multiply 2 and -1 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x-9)$$

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.

$$-2$$