NEW FUNCTION
Function Expression :
\[f(x)=-ex+1-2ln x \]
Domain
\[\left]0, \infty\right[ \]
Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- e - \frac{2}{x} \]
\[f^{\,\prime}(x)=\frac{- e x - 2}{x} \]
Integral
\[F(x) = - \frac{e x^{2}}{2} - 2 x \log{\left(x \right)} + 3 x \]
Sign Table
Variation Table
Plot
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