Solve 3m-m-m+3m

$$3 m - m - m + 3 m$$

Evaluate

$$4m$$

Solution Steps

Combine 3m and -m to get 2m.

$$2m-m+3m$$

Combine 2m and -m to get m.

$$m+3m$$

Combine m and 3m to get 4m.

$$4m$$

Differentiate w.r.t. m

$$4$$

Steps Using Definition of a Derivative

Combine 3m and -m to get 2m.

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

Combine 2m and -m to get m.

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

Combine m and 3m 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.

$$4\times 1$$

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

$$4$$