Solve 2y*36y

$$2 y \times 36 y$$

Evaluate

$$72y^{2}$$

Solution Steps

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

$$2y^{2}\times 36$$

Multiply 2 and 36 to get 72.

$$72y^{2}$$

Differentiate w.r.t. y

$$144y$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(2y^{2}\times 36)$$

Multiply 2 and 36 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}y}(72y^{2})$$

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

$$2\times 72y^{2-1}$$

Multiply 2 times 72.

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

Subtract 1 from 2.

$$144y^{1}$$

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

$$144y$$