Derivative of the Incomplete Beta Function

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#### Derivative of the Incomplete Beta Function

##### Synopsis

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

    namespace boost{ namespace math{

    template <class T1, class T2, class T3>
    calculated-result-type ibeta_derivative(T1 a, T2 b, T3 x);

    template <class T1, class T2, class T3, class Policy>
    calculated-result-type ibeta_derivative(T1 a, T2 b, T3 x, const Policy&);

    }} // namespaces

##### Description

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

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

The final Policy argument is optional and can be used to control the behaviour of the function: how it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

##### Accuracy

Almost identical to the incomplete beta function ibeta.

##### 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.