Solve 5m-3m-8m+2m

$$5 m - 3 m - 8 m + 2 m$$

Evaluate

$$-4m$$

Solution Steps

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

$$2m-8m+2m$$

Combine 2m and -8m to get -6m.

$$-6m+2m$$

Combine -6m and 2m to get -4m.

$$-4m$$

Differentiate w.r.t. m

$$-4$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(2m-8m+2m)$$

Combine 2m and -8m to get -6m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-6m+2m)$$

Combine -6m and 2m to get -4m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-4m)$$

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

$$-4m^{1-1}$$

Subtract 1 from 1.

$$-4m^{0}$$

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

$$-4$$