Solve 3/frac{2{x}+y}

$$\frac { 3 } { \frac { 2 } { x } + y }$$

Evaluate

$$\frac{3x}{xy+2}$$

Solution Steps

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

$$\frac{3}{\frac{2}{x}+\frac{yx}{x}}$$

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

$$\frac{3}{\frac{2+yx}{x}}$$

Divide 3 by \frac{2+yx}{x} by multiplying 3 by the reciprocal of \frac{2+yx}{x}.

$$\frac{3x}{2+yx}$$

Differentiate w.r.t. x

$$\frac{6}{\left(xy+2\right)^{2}}$$