Solve 2y*3y

$$2y \times 3y$$

Evaluate

$$6y^{2}$$

Solution Steps

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

$$2y^{2}\times 3$$

Multiply 2 and 3 to get 6.

$$6y^{2}$$

Differentiate w.r.t. y

$$12y$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(2y^{2}\times 3)$$

Multiply 2 and 3 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}y}(6y^{2})$$

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

$$2\times 6y^{2-1}$$

Multiply 2 times 6.

$$12y^{2-1}$$

Subtract 1 from 2.

$$12y^{1}$$

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

$$12y$$