Solve (91*y)(-105*10y)

$$( 91 \times y ) ( - 105 \times 10 y )$$

Evaluate

$$-95550y^{2}$$

Solution Steps

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

$$91y^{2}\left(-105\right)\times 10$$

Multiply 91 and -105 to get -9555.

$$-9555y^{2}\times 10$$

Multiply -9555 and 10 to get -95550.

$$-95550y^{2}$$

Differentiate w.r.t. y

$$-191100y$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(91y^{2}\left(-105\right)\times 10)$$

Multiply 91 and -105 to get -9555.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-9555y^{2}\times 10)$$

Multiply -9555 and 10 to get -95550.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-95550y^{2})$$

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

$$2\left(-95550\right)y^{2-1}$$

Multiply 2 times -95550.

$$-191100y^{2-1}$$

Subtract 1 from 2.

$$-191100y^{1}$$

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

$$-191100y$$