Solve 1/6xy+1/2xy+1/6xy+1/3xy-frac{1}{2}xy+frac{1}{3}xy=

$$\frac { 1 } { 6 } x y + \frac { 1 } { 2 } x y + \frac { 1 } { 6 } x y + \frac { 1 } { 3 } x y - \frac { 1 } { 2 } x y + \frac { 1 } { 3 } x y =$$

Evaluate

$$xy$$

Solution Steps

Combine \frac{1}{6}xy and \frac{1}{2}xy to get \frac{2}{3}xy.

$$\frac{2}{3}xy+\frac{1}{6}xy+\frac{1}{3}xy-\frac{1}{2}xy+\frac{1}{3}xy$$

Combine \frac{2}{3}xy and \frac{1}{6}xy to get \frac{5}{6}xy.

$$\frac{5}{6}xy+\frac{1}{3}xy-\frac{1}{2}xy+\frac{1}{3}xy$$

Combine \frac{5}{6}xy and \frac{1}{3}xy to get \frac{7}{6}xy.

$$\frac{7}{6}xy-\frac{1}{2}xy+\frac{1}{3}xy$$

Combine \frac{7}{6}xy and -\frac{1}{2}xy to get \frac{2}{3}xy.

$$\frac{2}{3}xy+\frac{1}{3}xy$$

Combine \frac{2}{3}xy and \frac{1}{3}xy to get xy.

$$xy$$

Differentiate w.r.t. x

$$y$$