Solve (-7r-8)+(-4r-7)

$$( - 7 r - 8 ) + ( - 4 r - 7 )$$

Evaluate

$$-11r-15$$

Solution Steps

Combine -7r and -4r to get -11r.

$$-11r-8-7$$

Subtract 7 from -8 to get -15.

$$-11r-15$$

Differentiate w.r.t. r

$$-11$$

Steps Using Derivative Rule for Sum

Combine -7r and -4r to get -11r.

$$\frac{\mathrm{d}}{\mathrm{d}r}(-11r-8-7)$$

Subtract 7 from -8 to get -15.

$$\frac{\mathrm{d}}{\mathrm{d}r}(-11r-15)$$

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}.

$$-11r^{1-1}$$

Subtract 1 from 1.

$$-11r^{0}$$

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

$$-11$$