[section:beta_derivative Derivative of the Incomplete Beta Function]

[h4 Synopsis]

``
#include <boost/math/special_functions/beta.hpp>
``

   namespace boost{ namespace math{ 
   
   template <class T1, class T2, class T3>
   ``__sf_result`` ibeta_derivative(T1 a, T2 b, T3 x);
   
   template <class T1, class T2, class T3, class ``__Policy``>
   ``__sf_result`` ibeta_derivative(T1 a, T2 b, T3 x, const ``__Policy``&);
   
   }} // namespaces
   
[h4 Description]

This function finds some uses in statistical distributions: it 
computes the partial derivative with respect to /x/ of the incomplete
beta function __ibeta.

[equation derivative2]

The return type of this function is computed using the __arg_promotion_rules
when T1, T2 and T3 are different types.

[optional_policy]

[h4 Accuracy]

Almost identical to the incomplete beta function __ibeta.

[h4 Implementation]

This function just expose some of the internals of the incomplete
beta function __ibeta: refer to the documentation for that function
for more information.

[endsect] [/section Derivatives of the Incomplete Beta and Gamma Functions]
[/ 
  Copyright 2006 John Maddock and Paul A. Bristow.
  Distributed under the Boost Software License, Version 1.0.
  (See accompanying file LICENSE_1_0.txt or copy at
  http://www.boost.org/LICENSE_1_0.txt).
]


