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
Plot
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