Solve 3x+2/y-y^2

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3x-y^{2} times \frac{y}{y}.

$$\frac{\left(3x-y^{2}\right)y}{y}+\frac{2}{y}$$

Since \frac{\left(3x-y^{2}\right)y}{y} and \frac{2}{y} have the same denominator, add them by adding their numerators.

$$\frac{\left(3x-y^{2}\right)y+2}{y}$$

Do the multiplications in \left(3x-y^{2}\right)y+2.

$$\frac{3xy-y^{3}+2}{y}$$

Differentiate w.r.t. x

$$3$$