Solve -1-w-2w+7-19

$$- 1 - w - 2 w + 7 - 19$$

Evaluate

$$-3w-13$$

Solution Steps

Combine -w and -2w to get -3w.

$$-1-3w+7-19$$

Add -1 and 7 to get 6.

$$6-3w-19$$

Subtract 19 from 6 to get -13.

$$-13-3w$$

Differentiate w.r.t. w

$$-3$$

Steps Using Derivative Rule for Sum

Combine -w and -2w to get -3w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(-1-3w+7-19)$$

Add -1 and 7 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}w}(6-3w-19)$$

Subtract 19 from 6 to get -13.

$$\frac{\mathrm{d}}{\mathrm{d}w}(-13-3w)$$

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}.

$$-3w^{1-1}$$

Subtract 1 from 1.

$$-3w^{0}$$

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

$$-3$$