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