Solve -9m+1/3m-2m

$$- 9 m + \frac { 1 } { 3 } m - 2 m$$

Evaluate

$$-\frac{32m}{3}$$

Solution Steps

Combine -9m and \frac{1}{3}m to get -\frac{26}{3}m.

$$-\frac{26}{3}m-2m$$

Combine -\frac{26}{3}m and -2m to get -\frac{32}{3}m.

$$-\frac{32}{3}m$$

Differentiate w.r.t. m

$$-\frac{32}{3} = -10\frac{2}{3} = -10.666666666666666$$

Steps Using Definition of a Derivative

Combine -9m and \frac{1}{3}m to get -\frac{26}{3}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-\frac{26}{3}m-2m)$$

Combine -\frac{26}{3}m and -2m to get -\frac{32}{3}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-\frac{32}{3}m)$$

The derivative of ax^{n} is nax^{n-1}.

$$-\frac{32}{3}m^{1-1}$$

Subtract 1 from 1.

$$-\frac{32}{3}m^{0}$$

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

$$-\frac{32}{3}$$