Solve 7m-(-m)-9m=

$$7 m - ( - m ) - 9 m =$$

Evaluate

$$-m$$

Solution Steps

Multiply -1 and -1 to get 1.

$$7m+m-9m$$

Combine 7m and m to get 8m.

$$8m-9m$$

Combine 8m and -9m to get -m.

$$-m$$

Differentiate w.r.t. m

$$-1$$

Steps Using Definition of a Derivative

Multiply -1 and -1 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}m}(7m+m-9m)$$

Combine 7m and m to get 8m.

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

Combine 8m and -9m to get -m.

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

The derivative of ax^{n} is nax^{n-1}.

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

Subtract 1 from 1.

$$-m^{0}$$

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

$$-1$$