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