NEW FUNCTION

Function Expression :

\[f(x)=x-ln(e^{(x-1 )} ) \]

Domain

\[\left]-\infty, \infty\right[ \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = 1 \]
\[\lim_{x \rightarrow+\infty}f(x) = 1 \]
\[ \]

Derivate

\[f^{\,\prime}(x)=- e^{1 - x} e^{x - 1} + 1 \]
\[f^{\,\prime}(x)=0 \]
\[ \]

Integral

\[F(x) = x \]

Sign Table

Variation Table

Plot

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