Solve frac{x^{4}y^{3}}{x^{2}y^2}+x^3y^4/xy^3

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

Evaluate

$$2yx^{2}$$

Solution Steps

Cancel out x^{2}y^{2} in both numerator and denominator.

$$yx^{2}+\frac{x^{3}y^{4}}{xy^{3}}$$

Cancel out xy^{3} in both numerator and denominator.

$$yx^{2}+yx^{2}$$

Combine yx^{2} and yx^{2} to get 2yx^{2}.

$$2yx^{2}$$

Differentiate w.r.t. x

$$4xy$$