NEW FUNCTION

Function Expression :

\[f(x)=ln(-2x-1 ) \]

Domain

\[\left]-\infty, - \frac{1}{2}\right[ \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]
\[\lim_{x \overset{<}{\rightarrow- \frac{1}{2}} }f(x) = -\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=- \frac{2}{\left(-1\right) 2 x - 1} \]
\[f^{\,\prime}(x)=\frac{2}{2 x + 1} \]
\[ \]

Integral

\[F(x) = x \log{\left(- 2 x - 1 \right)} - x + \frac{\log{\left(- 2 x - 1 \right)}}{2} \]

Sign Table


Variation Table


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