Solve 2y*2y

$$2 y \times 2 y$$

Evaluate

$$4y^{2}$$

Solution Steps

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

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

Multiply 2 and 2 to get 4.

$$4y^{2}$$

Differentiate w.r.t. y

$$8y$$

Steps Using Definition of a Derivative

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

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

Multiply 2 and 2 to get 4.

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

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

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

Multiply 2 times 4.

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

Subtract 1 from 2.

$$8y^{1}$$

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

$$8y$$