Function Expression :
\[f(x)=-\sqrt{2x^2+1} \]Domain
\[\left]-\infty, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \frac{2 x}{\sqrt{2 x^{2} + 1}} \]\[f^{\,\prime}(x)=- \frac{2 x}{\sqrt{2 x^{2} + 1}} \]
\[ \]
Integral
\[F(x) = - \frac{x \sqrt{2 x^{2} + 1}}{2} - \frac{\sqrt{2} \operatorname{asinh}{\left(\sqrt{2} x \right)}}{4} \]Sign Table
Variation Table
Plot
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