Question

$$x-10(1+x)^{1/x}=?$$

Evaluate

$-10\left(x+1\right)^{\frac{1}{x}}+x$

Differentiate w.r.t. x

$\frac{10x\ln(x+1)\left(x+1\right)^{\frac{1}{x}}+10\ln(x+1)\left(x+1\right)^{\frac{1}{x}}-10x\left(x+1\right)^{\frac{1}{x}}+x^{3}+x^{2}}{\left(x+1\right)x^{2}}$