Solve d/dxleft(frac{sqrt[3]{2x}-2}{(x+1)sqrt{4-x^2}}right)

$$\frac{d}{d x } \left( \frac{ \sqrt[3]{ 2x } -2 }{ (x+1) \sqrt{ 4- { x }^{ 2 } } } \right)$$

Evaluate

$$\frac{5\sqrt[3]{2}x^{3}-12x^{\frac{8}{3}}+2\sqrt[3]{2}x^{2}-6x^{\frac{5}{3}}-8\sqrt[3]{2}x+24x^{\frac{2}{3}}+4\sqrt[3]{2}}{3x^{\frac{2}{3}}\left(x+1\right)^{2}\left(4-x^{2}\right)^{\frac{3}{2}}}$$

Differentiate w.r.t. x

$$\frac{2\left(20\sqrt[3]{2}x^{6}-54x^{\frac{17}{3}}+16\sqrt[3]{2}x^{5}-54x^{\frac{14}{3}}-41\sqrt[3]{2}x^{4}+162x^{\frac{11}{3}}+64\sqrt[3]{2}x^{3}+118\sqrt[3]{2}x^{2}-324x^{\frac{5}{3}}-80\sqrt[3]{2}x-16\sqrt[3]{2}\right)}{9x^{\frac{5}{3}}\left(x+1\right)^{3}\left(4-x^{2}\right)^{\frac{5}{2}}}$$