Solve 21-7v+v-14

$$21 - 7 v + v - 14$$

Evaluate

$$7-6v$$

Solution Steps

Combine -7v and v to get -6v.

$$21-6v-14$$

Subtract 14 from 21 to get 7.

$$7-6v$$

Differentiate w.r.t. v

$$-6$$

Steps Using Derivative Rule for Sum

Combine -7v and v to get -6v.

$$\frac{\mathrm{d}}{\mathrm{d}v}(21-6v-14)$$

Subtract 14 from 21 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}v}(7-6v)$$

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}.

$$-6v^{1-1}$$

Subtract 1 from 1.

$$-6v^{0}$$

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

$$-6$$