Solve 2y*-y

$$2 y \cdot - y$$

Evaluate

$$-2y^{2}$$

Solution Steps

Multiply 2 and -1 to get -2.

$$-2yy$$

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

$$-2y^{2}$$

Differentiate w.r.t. y

$$-4y$$

Steps Using Definition of a Derivative

Multiply 2 and -1 to get -2.

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

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

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

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

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

Multiply 2 times -2.

$$-4y^{2-1}$$

Subtract 1 from 2.

$$-4y^{1}$$

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

$$-4y$$