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  25 <div class="section math_toolkit_special_sf_beta_beta_derivative">
  26 <div class="titlepage"><div><div><h4 class="title">
  27 <a name="math_toolkit.special.sf_beta.beta_derivative"></a><a class="link" href="beta_derivative.html" title="Derivative of the Incomplete Beta Function">Derivative
  28         of the Incomplete Beta Function</a>
  29 </h4></div></div></div>
  30 <h5>
  31 <a name="math_toolkit.special.sf_beta.beta_derivative.h0"></a>
  32           <span><a name="math_toolkit.special.sf_beta.beta_derivative.synopsis"></a></span><a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.synopsis">Synopsis</a>
  33         </h5>
  34 <p>
  35 </p>
  36 <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">special_functions</span><span class="special">/</span><span class="identifier">beta</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
  37 </pre>
  38 <p>
  39         </p>
  40 <pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
  41
  42 <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">&gt;</span>
  43 <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">);</span>
  44
  45 <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&gt;</span>
  46 <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ibeta_derivative</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">&amp;);</span>
  47
  48 <span class="special">}}</span> <span class="comment">// namespaces</span>
  49 </pre>
  50 <h5>
  51 <a name="math_toolkit.special.sf_beta.beta_derivative.h1"></a>
  52           <span><a name="math_toolkit.special.sf_beta.beta_derivative.description"></a></span><a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.description">Description</a>
  53         </h5>
  54 <p>
  55           This function finds some uses in statistical distributions: it computes
  56           the partial derivative with respect to <span class="emphasis"><em>x</em></span> of the incomplete
  57           beta function <a class="link" href="ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>.
  58         </p>
  59 <p>
  60           <span class="inlinemediaobject"><img src="../../../../equations/derivative2.png"></span>
  61         </p>
  62 <p>
  63           The return type of this function is computed using the <a class="link" href="../../main_overview/result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
  64           type calculation rules</em></span></a> when T1, T2 and T3 are different
  65           types.
  66         </p>
  67 <p>
  68           The final <a class="link" href="../../policy.html" title="Policies">Policy</a> argument is
  69           optional and can be used to control the behaviour of the function: how
  70           it handles errors, what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Policies">policy documentation for more details</a>.
  71         </p>
  72 <h5>
  73 <a name="math_toolkit.special.sf_beta.beta_derivative.h2"></a>
  74           <span><a name="math_toolkit.special.sf_beta.beta_derivative.accuracy"></a></span><a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.accuracy">Accuracy</a>
  75         </h5>
  76 <p>
  77           Almost identical to the incomplete beta function <a class="link" href="ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>.
  78         </p>
  79 <h5>
  80 <a name="math_toolkit.special.sf_beta.beta_derivative.h3"></a>
  81           <span><a name="math_toolkit.special.sf_beta.beta_derivative.implementation"></a></span><a class="link" href="beta_derivative.html#math_toolkit.special.sf_beta.beta_derivative.implementation">Implementation</a>
  82         </h5>
  83 <p>
  84           This function just expose some of the internals of the incomplete beta
  85           function <a class="link" href="ibeta_function.html" title="Incomplete Beta Functions">ibeta</a>:
  86           refer to the documentation for that function for more information.
  87         </p>
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  91 <td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
  92       Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
  93         Distributed under the Boost Software License, Version 1.0. (See accompanying
  94         file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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