Solve frac{sqrt{a^{3}b^{2}sqrt[3]{ab^{2}}}}{(a^frac{1{4}b^frac{1{2}}a^-frac{1{3}}b^-frac{1{3}}}}

\frac { \sqrt { a ^ { 3 } b ^ { 2 } \sqrt[ 3 ] { a b ^ { 2 } } } } { ( a ^ { \frac { 1 } { 4 } b ^ { \frac { 1 } { 2 } } a ^ { - \frac { 1 } { 3 } } b ^ { - \frac { 1 } { 3 } } } }

Evaluate

b^{\frac{4}{3}}\left(|a|\right)^{\frac{5}{3}}a^{-\frac{\sqrt[6]{b}}{4\sqrt[3]{a}}}

Differentiate w.r.t. a

\frac{|a|b^{\frac{4}{3}}\left(\sqrt[6]{b}\left(\ln(a)-3\right)+20\sqrt[3]{a}\right)a^{-\frac{2}{3}-\frac{\sqrt[6]{b}}{4\sqrt[3]{a}}}}{12}

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\frac { \sqrt { a ^ { 3 } b ^ { 2 } \sqrt[ 3 ] { a b ^ { 2 } } } } { ( a ^ { \frac { 1 } { 4 } b ^ { \frac { 1 } { 2 } } a ^ { - \frac { 1 } { 3 } } b ^ { - \frac { 1 } { 3 } } } }

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