Solve (4m)(-9m)=

$$( 4 m ) ( - 9 m ) =$$

Evaluate

$$-36m^{2}$$

Solution Steps

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

$$4m^{2}\left(-9\right)$$

Multiply 4 and -9 to get -36.

$$-36m^{2}$$

Differentiate w.r.t. m

$$-72m$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(4m^{2}\left(-9\right))$$

Multiply 4 and -9 to get -36.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-36m^{2})$$

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

$$2\left(-36\right)m^{2-1}$$

Multiply 2 times -36.

$$-72m^{2-1}$$

Subtract 1 from 2.

$$-72m^{1}$$

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

$$-72m$$