Function image：
The function image taken from the image library.
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Function Analytic Expresions: y= ( 1 + 1 / x ) ^ x Derivative of function： y'= ( x ^ -1 + 1 ) ^ ( x ) * ln ( x ^ -1 + 1 ) - ( x ^ -1 + 1 ) ^ -1 * x ^ -1 * ( x ^ -1 + 1 ) ^ ( x ) |