Solve 4y*2y

$$4 y \times 2 y$$

Evaluate

$$8y^{2}$$

Solution Steps

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

$$4y^{2}\times 2$$

Multiply 4 and 2 to get 8.

$$8y^{2}$$

Differentiate w.r.t. y

$$16y$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(4y^{2}\times 2)$$

Multiply 4 and 2 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}y}(8y^{2})$$

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

$$2\times 8y^{2-1}$$

Multiply 2 times 8.

$$16y^{2-1}$$

Subtract 1 from 2.

$$16y^{1}$$

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

$$16y$$