Solve (-3y^2)(-7y)

$$( - 3 y ^ { 2 } ) ( - 7 y )$$

Evaluate

$$21y^{3}$$

Solution Steps

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

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

Multiply -3 and -7 to get 21.

$$21y^{3}$$

Differentiate w.r.t. y

$$63y^{2}$$

Steps Using Definition of a Derivative

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

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

Multiply -3 and -7 to get 21.

$$\frac{\mathrm{d}}{\mathrm{d}y}(21y^{3})$$

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

$$3\times 21y^{3-1}$$

Multiply 3 times 21.

$$63y^{3-1}$$

Subtract 1 from 3.

$$63y^{2}$$