Solve 2v-8+3-6v

$$2 v - 8 + 3 - 6 v$$

Evaluate

$$-4v-5$$

Solution Steps

Add -8 and 3 to get -5.

$$2v-5-6v$$

Combine 2v and -6v to get -4v.

$$-4v-5$$

Differentiate w.r.t. v

$$-4$$

Steps Using Derivative Rule for Sum

Add -8 and 3 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}v}(2v-5-6v)$$

Combine 2v and -6v to get -4v.

$$\frac{\mathrm{d}}{\mathrm{d}v}(-4v-5)$$

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}.

$$-4v^{1-1}$$

Subtract 1 from 1.

$$-4v^{0}$$

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

$$-4$$