Solve m+7m-4m=

$$m + 7 m - 4 m =$$

Evaluate

$$4m$$

Solution Steps

Combine m and 7m to get 8m.

$$8m-4m$$

Combine 8m and -4m to get 4m.

$$4m$$

Differentiate w.r.t. m

$$4$$

Steps Using Definition of a Derivative

Combine m and 7m to get 8m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(8m-4m)$$

Combine 8m and -4m to get 4m.

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

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

$$4m^{1-1}$$

Subtract 1 from 1.

$$4m^{0}$$

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

$$4\times 1$$

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

$$4$$