Solve (-5y)*(-y)

$$( - 5 y ) \times ( - y )$$

Evaluate

$$5y^{2}$$

Solution Steps

Multiply -5 and -1 to get 5.

$$5yy$$

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

$$5y^{2}$$

Differentiate w.r.t. y

$$10y$$

Steps Using Definition of a Derivative

Multiply -5 and -1 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}y}(5yy)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(5y^{2})$$

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

$$2\times 5y^{2-1}$$

Multiply 2 times 5.

$$10y^{2-1}$$

Subtract 1 from 2.

$$10y^{1}$$

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

$$10y$$