NEW FUNCTION

Function Expression :

\[f(x)=\sqrt{21-x^2} \]

Domain

\[\left[- \sqrt{21}, \sqrt{21}\right] \]

Limits

\[\lim_{x \overset{>}{\rightarrow- \sqrt{21}} }f(x) = 0 \]
\[\lim_{x \overset{<}{\rightarrow\sqrt{21}} }f(x) = 0 \]
\[ \]

Derivate

\[f^{\,\prime}(x)=- \frac{x}{\sqrt{21 - x^{2}}} \]
\[ \]

Integral

\[F(x) = \frac{x \sqrt{21 - x^{2}}}{2} + \frac{21 \operatorname{asin}{\left(\frac{\sqrt{21} x}{21} \right)}}{2} \]

Sign Table


Variation Table


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