Solve 4m-6m+m

$$4 m - 6 m + m$$

Evaluate

$$-m$$

Solution Steps

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

$$-2m+m$$

Combine -2m and m to get -m.

$$-m$$

Differentiate w.r.t. m

$$-1$$

Steps Using Definition of a Derivative

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

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

Combine -2m and m to get -m.

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

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

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

Subtract 1 from 1.

$$-m^{0}$$

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

$$-1$$