Solve (4m-8)+(-9m-5)

$$( 4 m - 8 ) + ( - 9 m - 5 )$$

Evaluate

$$-5m-13$$

Solution Steps

Combine 4m and -9m to get -5m.

$$-5m-8-5$$

Subtract 5 from -8 to get -13.

$$-5m-13$$

Differentiate w.r.t. m

$$-5$$

Steps Using Derivative Rule for Sum

Combine 4m and -9m to get -5m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-5m-8-5)$$

Subtract 5 from -8 to get -13.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-5m-13)$$

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}.

$$-5m^{1-1}$$

Subtract 1 from 1.

$$-5m^{0}$$

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

$$-5$$