Solve (-6m^2)(4m)

$$( - 6 m ^ { 2 } ) ( 4 m )$$

Evaluate

$$-24m^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-6m^{3}\times 4$$

Multiply -6 and 4 to get -24.

$$-24m^{3}$$

Differentiate w.r.t. m

$$-72m^{2}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-6m^{3}\times 4)$$

Multiply -6 and 4 to get -24.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-24m^{3})$$

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

$$3\left(-24\right)m^{3-1}$$

Multiply 3 times -24.

$$-72m^{3-1}$$

Subtract 1 from 3.

$$-72m^{2}$$