Solve (-7y^2)(-8y)

$$( - 7 y ^ { 2 } ) ( - 8 y )$$

Evaluate

$$56y^{3}$$

Solution Steps

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

$$-7y^{3}\left(-8\right)$$

Multiply -7 and -8 to get 56.

$$56y^{3}$$

Differentiate w.r.t. y

$$168y^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(-7y^{3}\left(-8\right))$$

Multiply -7 and -8 to get 56.

$$\frac{\mathrm{d}}{\mathrm{d}y}(56y^{3})$$

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

$$3\times 56y^{3-1}$$

Multiply 3 times 56.

$$168y^{3-1}$$

Subtract 1 from 3.

$$168y^{2}$$