Function Expression :
\[f(x)=\frac{e^x}{e^x+1}+2 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 2 \]\[\lim_{x \rightarrow+\infty}f(x) = 3 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{e^{x}}{e^{x} + 1} - \frac{e^{2 x}}{\left(e^{x} + 1\right)^{2}} \]\[f^{\,\prime}(x)=\frac{e^{x}}{e^{2 x} + 2 e^{x} + 1} \]
\[ \]
Integral
\[F(x) = 2 x + \log{\left(e^{x} + 1 \right)} \]Sign Table
Variation Table
Plot
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