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---
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alias: ["th", "tangente hyperbolique"]
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---
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up::[[trigonométrie]], [[fonctions]]
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up::[[trigonométrie]], [[fonctions particulières]]
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properties::[[fonction impaire|impaire]], [[bijection|bijective]]
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derivative::$\dfrac{1}{\mathrm{ch}^{2}(x)}$
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description::"$\mathbb{R} \to [-1; 1]$", "$x \mapsto \dfrac{\mathrm{sh}(x)}{\mathrm{ch}(x)} = \dfrac{e^{x}-e^{-x}}{e^{x}+e^{-x}}$"
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