Solve x/frac{y{x}}+1

$$\frac { x } { \frac { y } { x } } + 1$$

Evaluate

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

Solution Steps

Divide x by \frac{y}{x} by multiplying x by the reciprocal of \frac{y}{x}.

$$\frac{xx}{y}+1$$

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

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{y}{y}.

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

Since \frac{x^{2}}{y} and \frac{y}{y} have the same denominator, add them by adding their numerators.

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

Differentiate w.r.t. x

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