Solve 648ydiv141y=

$$648 y \div 141 y =$$

Evaluate

$$\frac{216y^{2}}{47}$$

Solution Steps

Divide 648y by 141 to get \frac{216}{47}y.

$$\frac{216}{47}yy$$

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

$$\frac{216}{47}y^{2}$$

Differentiate w.r.t. y

$$\frac{432y}{47}$$

Steps Using Definition of a Derivative

Divide 648y by 141 to get \frac{216}{47}y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{216}{47}yy)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{216}{47}y^{2})$$

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

$$2\times \frac{216}{47}y^{2-1}$$

Multiply 2 times \frac{216}{47}.

$$\frac{432}{47}y^{2-1}$$

Subtract 1 from 2.

$$\frac{432}{47}y^{1}$$

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

$$\frac{432}{47}y$$