Solve (2m-4)+(7m-4)=

$$( 2 m - 4 ) + ( 7 m - 4 ) =$$

Evaluate

$$9m-8$$

Solution Steps

Combine 2m and 7m to get 9m.

$$9m-4-4$$

Subtract 4 from -4 to get -8.

$$9m-8$$

Differentiate w.r.t. m

$$9$$

Steps Using Derivative Rule for Sum

Combine 2m and 7m to get 9m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(9m-4-4)$$

Subtract 4 from -4 to get -8.

$$\frac{\mathrm{d}}{\mathrm{d}m}(9m-8)$$

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}.

$$9m^{1-1}$$

Subtract 1 from 1.

$$9m^{0}$$

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

$$9\times 1$$

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

$$9$$