Stan Math Library
4.9.0
Automatic Differentiation
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Return the hyperbolic sine of the specified variable (cmath).
The derivative is defined by
\(\frac{d}{dx} \sinh x = \cosh x\).
\[ \mbox{sinh}(x) = \begin{cases} \sinh(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
\[ \frac{\partial\, \mbox{sinh}(x)}{\partial x} = \begin{cases} \cosh(x) & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
a | Variable. |