Solve +5-m+12+(-5m+2-6

$$+ 5 - m + 12 + ( - 5 m + 2 - 6$$

Evaluate

$$13-6m$$

Solution Steps

Add 5 and 12 to get 17.

$$17-m-5m+2-6$$

Combine -m and -5m to get -6m.

$$17-6m+2-6$$

Add 17 and 2 to get 19.

$$19-6m-6$$

Subtract 6 from 19 to get 13.

$$13-6m$$

Differentiate w.r.t. m

$$-6$$

Steps Using Derivative Rule for Sum

Add 5 and 12 to get 17.

$$\frac{\mathrm{d}}{\mathrm{d}m}(17-m-5m+2-6)$$

Combine -m and -5m to get -6m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(17-6m+2-6)$$

Add 17 and 2 to get 19.

$$\frac{\mathrm{d}}{\mathrm{d}m}(19-6m-6)$$

Subtract 6 from 19 to get 13.

$$\frac{\mathrm{d}}{\mathrm{d}m}(13-6m)$$

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}.

$$-6m^{1-1}$$

Subtract 1 from 1.

$$-6m^{0}$$

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

$$-6$$