Function Expression :
\[f(x)=\frac{2x}{x^2+4} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \frac{4 x^{2}}{\left(x^{2} + 4\right)^{2}} + \frac{2}{x^{2} + 4} \]\[f^{\,\prime}(x)=\frac{2 \cdot \left(4 - x^{2}\right)}{x^{4} + 8 x^{2} + 16} \]
\[ \]
Integral
\[F(x) = \log{\left(x^{2} + 4 \right)} \]Sign Table
Variation Table
Plot
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