Solve -5y*(-5y)

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

Evaluate

$$25y^{2}$$

Solution Steps

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

$$-5y^{2}\left(-5\right)$$

Multiply -5 and -5 to get 25.

$$25y^{2}$$

Differentiate w.r.t. y

$$50y$$

Steps Using Definition of a Derivative

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

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

Multiply -5 and -5 to get 25.

$$\frac{\mathrm{d}}{\mathrm{d}y}(25y^{2})$$

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

$$2\times 25y^{2-1}$$

Multiply 2 times 25.

$$50y^{2-1}$$

Subtract 1 from 2.

$$50y^{1}$$

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

$$50y$$