Solve =1-v-0-v-1

$$= 1 - v - 0 - v - 1$$

Evaluate

$$-2v$$

Solution Steps

Multiply -1 and 0 to get 0.

$$1-v+0-v-1$$

Add 1 and 0 to get 1.

$$1-v-v-1$$

Combine -v and -v to get -2v.

$$1-2v-1$$

Subtract 1 from 1 to get 0.

$$-2v$$

Differentiate w.r.t. v

$$-2$$

Steps Using Definition of a Derivative

Multiply -1 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}v}(1-v+0-v-1)$$

Add 1 and 0 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}v}(1-v-v-1)$$

Combine -v and -v to get -2v.

$$\frac{\mathrm{d}}{\mathrm{d}v}(1-2v-1)$$

Subtract 1 from 1 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}v}(-2v)$$

The derivative of ax^{n} is nax^{n-1}.

$$-2v^{1-1}$$

Subtract 1 from 1.

$$-2v^{0}$$

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

$$-2$$