Solve 3m-4m+9m=

$$3 m - 4 m + 9 m =$$

Evaluate

$$8m$$

Solution Steps

Combine 3m and -4m to get -m.

$$-m+9m$$

Combine -m and 9m to get 8m.

$$8m$$

Differentiate w.r.t. m

$$8$$

Steps Using Definition of a Derivative

Combine 3m and -4m to get -m.

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

Combine -m and 9m to get 8m.

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

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

$$8m^{1-1}$$

Subtract 1 from 1.

$$8m^{0}$$

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

$$8\times 1$$

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

$$8$$