Solve ={sqrt{1+[(a^{2/3}-x^{2/3})^{1/2}}x^{-1/4^{2}]^{-6}}-1/a^{2}sqrt{(a^{2}-x^2)^2+4a^2x^2}

Evaluate

\frac{\sqrt{\sqrt{a^{\frac{2}{3}}-x^{\frac{2}{3}}}+1}}{\sqrt[16]{x}}

Differentiate w.r.t. x

\frac{-3\sqrt{a^{\frac{2}{3}}-x^{\frac{2}{3}}}\left(\sqrt{a^{\frac{2}{3}}-x^{\frac{2}{3}}}+1\right)-8x^{\frac{2}{3}}}{48\sqrt{\left(\sqrt{a^{\frac{2}{3}}-x^{\frac{2}{3}}}+1\right)\left(a^{\frac{2}{3}}-x^{\frac{2}{3}}\right)}x^{\frac{17}{16}}}

Graph

Quiz

Algebra

= \{ \sqrt { 1 + [ ( a ^ { 2 / 3 } - x ^ { 2 / 3 } ) ^ { 1 / 2 } } x ^ { - 1 / 4 ^ { 2 } ] ^ { - 6 } } - \frac { 1 } { a ^ { 2 } } \sqrt { ( a ^ { 2 } - x ^ { 2 } ) ^ { 2 } + 4 a ^ { 2 } x ^ { 2 } }

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