Solve -8y^2(-3y)=

$$- 8 y ^ { 2 } ( - 3 y ) =$$

Evaluate

$$24y^{3}$$

Solution Steps

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

$$-8y^{3}\left(-3\right)$$

Multiply -8 and -3 to get 24.

$$24y^{3}$$

Differentiate w.r.t. y

$$72y^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(-8y^{3}\left(-3\right))$$

Multiply -8 and -3 to get 24.

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

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

$$3\times 24y^{3-1}$$

Multiply 3 times 24.

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

Subtract 1 from 3.

$$72y^{2}$$