Solve 4m+m-2m=

$$4 m + m - 2 m =$$

Evaluate

$$3m$$

Solution Steps

Combine 4m and m to get 5m.

$$5m-2m$$

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

$$3m$$

Differentiate w.r.t. m

$$3$$

Steps Using Definition of a Derivative

Combine 4m and m to get 5m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(5m-2m)$$

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

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

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

$$3m^{1-1}$$

Subtract 1 from 1.

$$3m^{0}$$

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

$$3\times 1$$

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

$$3$$