Solve 2x(y%)(y%)

$$2x(y \% )(y \% )$$

Evaluate

$$\frac{xy^{2}}{5000}$$

Solution Steps

Multiply \frac{y}{100} and \frac{y}{100} to get \left(\frac{y}{100}\right)^{2}.

$$2x\times \left(\frac{y}{100}\right)^{2}$$

To raise \frac{y}{100} to a power, raise both numerator and denominator to the power and then divide.

$$2x\times \frac{y^{2}}{100^{2}}$$

Express 2\times \frac{y^{2}}{100^{2}} as a single fraction.

$$\frac{2y^{2}}{100^{2}}x$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{2y^{2}}{10000}x$$

Divide 2y^{2} by 10000 to get \frac{1}{5000}y^{2}.

$$\frac{1}{5000}y^{2}x$$

Differentiate w.r.t. x

$$\frac{y^{2}}{5000}$$