Solve 51v-7-34v+163

$$51v-7-34v+163$$

Evaluate

$$17v+156$$

Solution Steps

Combine 51v and -34v to get 17v.

$$17v-7+163$$

Add -7 and 163 to get 156.

$$17v+156$$

Differentiate w.r.t. v

$$17$$

Steps Using Derivative Rule for Sum

Combine 51v and -34v to get 17v.

$$\frac{\mathrm{d}}{\mathrm{d}v}(17v-7+163)$$

Add -7 and 163 to get 156.

$$\frac{\mathrm{d}}{\mathrm{d}v}(17v+156)$$

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}.

$$17v^{1-1}$$

Subtract 1 from 1.

$$17v^{0}$$

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

$$17\times 1$$

For any term t, t\times 1=t and 1t=t.

$$17$$