NEW FUNCTION

Function Expression :

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

Domain

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

Limits

\[\lim_{x \overset{>}{\rightarrow1} }f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

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

Integral

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

Sign Table

Variation Table

Plot

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