Solve (12y)(12y)

$$( 12 y ) ( 12 y )$$

Evaluate

$$144y^{2}$$

Solution Steps

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

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

Multiply 12 and 12 to get 144.

$$144y^{2}$$

Differentiate w.r.t. y

$$288y$$

Steps Using Definition of a Derivative

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

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

Multiply 12 and 12 to get 144.

$$\frac{\mathrm{d}}{\mathrm{d}y}(144y^{2})$$

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

$$2\times 144y^{2-1}$$

Multiply 2 times 144.

$$288y^{2-1}$$

Subtract 1 from 2.

$$288y^{1}$$

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

$$288y$$