Solve 3y*4y

$$3 y \times 4 y$$

Evaluate

$$12y^{2}$$

Solution Steps

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

$$3y^{2}\times 4$$

Multiply 3 and 4 to get 12.

$$12y^{2}$$

Differentiate w.r.t. y

$$24y$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y^{2}\times 4)$$

Multiply 3 and 4 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}y}(12y^{2})$$

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

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

Multiply 2 times 12.

$$24y^{2-1}$$

Subtract 1 from 2.

$$24y^{1}$$

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

$$24y$$