Solve (3m)(2m)=

$$( 3 m ) ( 2 m ) =$$

Evaluate

$$6m^{2}$$

Solution Steps

Multiply m and m to get m^{2}.

$$3m^{2}\times 2$$

Multiply 3 and 2 to get 6.

$$6m^{2}$$

Differentiate w.r.t. m

$$12m$$

Steps Using Definition of a Derivative

Multiply m and m to get m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(3m^{2}\times 2)$$

Multiply 3 and 2 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}m}(6m^{2})$$

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

$$2\times 6m^{2-1}$$

Multiply 2 times 6.

$$12m^{2-1}$$

Subtract 1 from 2.

$$12m^{1}$$

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

$$12m$$