Solve (frac{sqrt[4]{a^3b}-sqrt[4]{ab^3}}{asqrt[3]{b}-bsqrt[3]{a}})

$$( \frac { \sqrt[ 4 ] { a ^ { 3 } b } - \sqrt[ 4 ] { a b ^ { 3 } } } { a \sqrt[ 3 ] { b } - b \sqrt[ 3 ] { a } } )$$

Evaluate

$$\frac{\sqrt[4]{ba^{3}}-\sqrt[4]{ab^{3}}}{\left(a^{\frac{2}{3}}-b^{\frac{2}{3}}\right)\sqrt[3]{ab}}$$

Differentiate w.r.t. a

$$\frac{-a\left(\sqrt[3]{a}b\right)^{\frac{3}{4}}b^{\frac{11}{3}}+9ba^{\frac{5}{3}}\left(ab^{3}\right)^{\frac{3}{4}}-9ab^{\frac{5}{3}}\left(ab^{3}\right)^{\frac{3}{4}}+4b^{\frac{2}{3}}\sqrt[4]{ba^{3}}\left(\sqrt[3]{a}ab^{4}\right)^{\frac{3}{4}}-12a^{\frac{2}{3}}\sqrt[4]{ba^{3}}\left(\sqrt[3]{a}ab^{4}\right)^{\frac{3}{4}}+9\left(\sqrt[3]{a}b\right)^{\frac{3}{4}}a^{\frac{5}{3}}b^{3}}{12\sqrt[3]{b}a^{\frac{4}{3}}\left(a^{\frac{2}{3}}-b^{\frac{2}{3}}\right)^{2}\left(\sqrt[3]{a}ab^{4}\right)^{\frac{3}{4}}}$$