Solve -9x+14-31x-17

$$-9x+14-31x-17$$

Evaluate

$$-40x-3$$

Solution Steps

Combine -9x and -31x to get -40x.

$$-40x+14-17$$

Subtract 17 from 14 to get -3.

$$-40x-3$$

Differentiate w.r.t. x

$$-40$$

Steps Using Derivative Rule for Sum

Combine -9x and -31x to get -40x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-40x+14-17)$$

Subtract 17 from 14 to get -3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-40x-3)$$

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}.

$$-40x^{1-1}$$

Subtract 1 from 1.

$$-40x^{0}$$

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

$$-40$$