Solve -7-r-r+-10

$$- 7 - r - r + - 10$$

Evaluate

$$-2r-17$$

Solution Steps

Combine -r and -r to get -2r.

$$-7-2r-10$$

Subtract 10 from -7 to get -17.

$$-17-2r$$

Differentiate w.r.t. r

$$-2$$

Steps Using Derivative Rule for Sum

Combine -r and -r to get -2r.

$$\frac{\mathrm{d}}{\mathrm{d}r}(-7-2r-10)$$

Subtract 10 from -7 to get -17.

$$\frac{\mathrm{d}}{\mathrm{d}r}(-17-2r)$$

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}.

$$-2r^{1-1}$$

Subtract 1 from 1.

$$-2r^{0}$$

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

$$-2$$