Solve 4m-7m+7m-m

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

Evaluate

$$3m$$

Solution Steps

Combine 4m and -7m to get -3m.

$$-3m+7m-m$$

Combine -3m and 7m to get 4m.

$$4m-m$$

Combine 4m and -m to get 3m.

$$3m$$

Differentiate w.r.t. m

$$3$$

Steps Using Definition of a Derivative

Combine 4m and -7m to get -3m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-3m+7m-m)$$

Combine -3m and 7m to get 4m.

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

Combine 4m and -m to get 3m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(3m)$$

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

$$3m^{1-1}$$

Subtract 1 from 1.

$$3m^{0}$$

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

$$3\times 1$$

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

$$3$$