Solve -11m+8m-2m+14m

$$- 11 m + 8 m - 2 m + 14 m$$

Evaluate

$$9m$$

Solution Steps

Combine -11m and 8m to get -3m.

$$-3m-2m+14m$$

Combine -3m and -2m to get -5m.

$$-5m+14m$$

Combine -5m and 14m to get 9m.

$$9m$$

Differentiate w.r.t. m

$$9$$

Steps Using Definition of a Derivative

Combine -11m and 8m to get -3m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-3m-2m+14m)$$

Combine -3m and -2m to get -5m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-5m+14m)$$

Combine -5m and 14m to get 9m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(9m)$$

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

$$9m^{1-1}$$

Subtract 1 from 1.

$$9m^{0}$$

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

$$9\times 1$$

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

$$9$$