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