Solve -18v+(-13v)+72=

$$- 18 v + ( - 13 v ) + 72 =$$

Differentiate w.r.t. v

$$-31$$

Steps Using Derivative Rule for Sum

Combine -18v and -13v to get -31v.

$$\frac{\mathrm{d}}{\mathrm{d}v}(-31v+72)$$

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}.

$$-31v^{1-1}$$

Subtract 1 from 1.

$$-31v^{0}$$

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

$$-31$$

Evaluate

$$72-31v$$

Solution Steps

Combine -18v and -13v to get -31v.

$$-31v+72$$