NEW FUNCTION

Function Expression :

\[f(x)=-ln(x+1 ) \]

Domain

\[\left]-1, \infty\right[ \]

Limits

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

Derivate

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

Integral

\[F(x) = - x \log{\left(x + 1 \right)} + x - \log{\left(x + 1 \right)} \]

Sign Table


Variation Table


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