Solve m-(-2m)+(-m)+2m-3

$$m - ( - 2 m ) + ( - m ) + 2 m - 3$$

Evaluate

$$4m-3$$

Solution Steps

The opposite of -2m is 2m.

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

Combine m and 2m to get 3m.

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

Combine 3m and 2m to get 5m.

$$5m-m-3$$

Combine 5m and -m to get 4m.

$$4m-3$$

Differentiate w.r.t. m

$$4$$

Steps Using Derivative Rule for Sum

The opposite of -2m is 2m.

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

Combine m and 2m to get 3m.

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

Combine 3m and 2m to get 5m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(5m-m-3)$$

Combine 5m and -m to get 4m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(4m-3)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. 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.

$$4$$