Solve d/dx(e^x+x)^frac{1{x}}

$$\frac { d } { d x } ( e ^ { x } + x ) ^ { \frac { 1 } { x } }$$

Evaluate

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

Differentiate w.r.t. x

$$\frac{\left(x+e^{x}\right)^{-2+\frac{1}{x}}\left(x^{4}e^{x}+e^{2x}\ln(x+e^{x})^{2}+\left(x\ln(x+e^{x})\right)^{2}+2xe^{x}\ln(x+e^{x})^{2}+2x^{2}e^{x}\ln(x+e^{x})-x^{2}e^{2x}-2xe^{x}\ln(x+e^{x})+2x^{3}\ln(x+e^{x})-4x^{3}e^{x}-2x^{2}\ln(x+e^{x})-3x^{3}+x^{2}\right)}{x^{4}}$$