Solve -2/3xy^2+5/2xy^2-3/4xy^2

$$- \frac { 2 } { 3 } x y ^ { 2 } + \frac { 5 } { 2 } x y ^ { 2 } - \frac { 3 } { 4 } x y ^ { 2 }$$

Evaluate

$$\frac{13xy^{2}}{12}$$

Solution Steps

Combine -\frac{2}{3}xy^{2} and \frac{5}{2}xy^{2} to get \frac{11}{6}xy^{2}.

$$\frac{11}{6}xy^{2}-\frac{3}{4}xy^{2}$$

Combine \frac{11}{6}xy^{2} and -\frac{3}{4}xy^{2} to get \frac{13}{12}xy^{2}.

$$\frac{13}{12}xy^{2}$$

Differentiate w.r.t. x

$$\frac{13y^{2}}{12}$$