Automatic Differentiation
 
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◆ inv_sqrt() [7/7]

template<typename T , require_stan_scalar_or_eigen_t< T > * = nullptr>
auto stan::math::inv_sqrt ( const var_value< T > &  a)
inline
Template Parameters
TArithmetic or a type inheriting from EigenBase.

\[ \mbox{inv\_sqrt}(x) = \begin{cases} \frac{1}{\sqrt{x}} & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]

\[ \frac{\partial\, \mbox{inv\_sqrt}(x)}{\partial x} = \begin{cases} -\frac{1}{2\sqrt{x^3}} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]

Definition at line 36 of file inv_sqrt.hpp.