Solve -2y(3y)

$$- 2 y ( 3 y )$$

Evaluate

$$-6y^{2}$$

Solution Steps

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

$$-2y^{2}\times 3$$

Multiply -2 and 3 to get -6.

$$-6y^{2}$$

Differentiate w.r.t. y

$$-12y$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(-2y^{2}\times 3)$$

Multiply -2 and 3 to get -6.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-6y^{2})$$

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

$$2\left(-6\right)y^{2-1}$$

Multiply 2 times -6.

$$-12y^{2-1}$$

Subtract 1 from 2.

$$-12y^{1}$$

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

$$-12y$$