Write the point where `f(x)=x\ (log)_e x` attains minimum value.

Explanation

Let `f(x)=x` loge `x`.

Clearly,

`f(x)` is only defined for `x>0`.

For minimum value;

`f^{prime}(x)=0` and `f^{prime prime}(x)>0`.

`f^{prime}(x)=1+ln x `

`Rightarrow x=1 / e`

`f^{prime prime}(x)=1 / x`

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