Solve (-5m+6)+(-m+5)-6

$$( - 5 m + 6 ) + ( - m + 5 ) - 6$$

Evaluate

$$5-6m$$

Solution Steps

Add 6 and 5 to get 11.

$$-5m+11-m-6$$

Subtract 6 from 11 to get 5.

$$-5m+5-m$$

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

$$-6m+5$$

Differentiate w.r.t. m

$$-6$$

Steps Using Derivative Rule for Sum

Add 6 and 5 to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-5m+11-m-6)$$

Subtract 6 from 11 to get 5.

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

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

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

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.

$$-6$$