Solve 6m-2m+4m

$$6 m - 2 m + 4 m$$

Evaluate

$$8m$$

Solution Steps

Combine 6m and -2m to get 4m.

$$4m+4m$$

Combine 4m and 4m to get 8m.

$$8m$$

Differentiate w.r.t. m

$$8$$

Steps Using Definition of a Derivative

Combine 6m and -2m to get 4m.

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

Combine 4m and 4m 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.

$$8$$