Question

$$(5m(\sqrt{x^{2}+x}-\sqrt[3]{x^{2}-x})$$

Evaluate

$5m\left(\sqrt{x\left(x+1\right)}-\sqrt[3]{x\left(x-1\right)}\right)$

Differentiate w.r.t. x

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