Simplificar la expresión $\frac{\sqrt[3]{x}-1}{\sqrt[4]{x}-1}$

$\lim_{x\to1}\left(\frac{\sqrt[3]{x}-1}{\sqrt[4]{x}-1}\right)=\frac{4}{3}$ Ver solución completa 

$\frac{d}{dx}\left(\frac{\sqrt[3]{x}-1}{\sqrt[4]{x}-1}\right)=\frac{4\left(3\sqrt[3]{x^{2}}-12\sqrt[12]{x^{5}}\right)\sqrt[4]{x^{3}}+36\sqrt[12]{x^{13}}}{144\sqrt[6]{x^{11}}\left(\sqrt[4]{x}-1\right)^2}$ Ver solución completa 