NEW FUNCTION

Function Expression :

\[f(x)=\sqrt{(x+2 )+3} \]

Domain

\[\left[-5, \infty\right[ \]

Limits

\[\lim_{x \overset{>}{\rightarrow-5} }f(x) = 0 \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=\frac{1}{2 \sqrt{x + 2 + 3}} \]
\[f^{\,\prime}(x)=\frac{1}{2 \sqrt{x + 5}} \]
\[ \]

Integral

\[F(x) = \frac{2 \left(x + 2 + 3\right)^{\frac{3}{2}}}{3} \]

Sign Table

Variation Table

Plot

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