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kmath/kmath-core/space.kscience.kmath.expressions/-simple-auto-diff-field/derive.html

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<div class="main-content" data-page-type="member" id="content" pageids="kmath-core::space.kscience.kmath.expressions/SimpleAutoDiffField/derive/#TypeParam(bounds=[kotlin.Any?])#kotlin.Function2[TypeParam(bounds=[space.kscience.kmath.operations.Field[TypeParam(bounds=[kotlin.Any])]]),TypeParam(bounds=[kotlin.Any?]),kotlin.Unit]/PointingToDeclaration//244675578">
<div class="breadcrumbs"><a href="../../index.html">kmath-core</a><span class="delimiter">/</span><a href="../index.html">space.kscience.kmath.expressions</a><span class="delimiter">/</span><a href="index.html">SimpleAutoDiffField</a><span class="delimiter">/</span><span class="current">derive</span></div>
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<h1 class="cover"><span><span>derive</span></span></h1>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator">&lt;</span><span class="token keyword"></span><a href="derive.html">R</a><span class="token operator">&gt; </span><a href="derive.html"><span class="token function">derive</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">value<span class="token operator">: </span><a href="derive.html">R</a><span class="token punctuation">, </span></span><span class="parameter ">block<span class="token operator">: </span><span class="token keyword"></span><a href="index.html">F</a><span class="token punctuation">.</span><span class="token punctuation">(</span><span class="token keyword"></span><a href="derive.html">R</a><span class="token punctuation">)</span><span class="token operator"> -&gt; </span><span class="token keyword"></span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-unit/index.html">Unit</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="derive.html">R</a><span class="clearfix"><span class="floating-right">(<a href="https://github.com/SciProgCentre/kmath/tree/master/kmath-core/src/commonMain/kotlin/space/kscience/kmath/expressions/SimpleAutoDiff.kt#L134">source</a>)</span></span></div><p class="paragraph">Performs update of derivative after the rest of the formula in the back-pass.</p><p class="paragraph">For example, implementation of <code class="lang-kotlin">sin</code> function is:</p><div class="sample-container"><pre><code class="block lang-kotlin" theme="idea">fun AD.sin(x: Variable): Variable = derive(Variable(sin(x.x)) { z -&gt; // call derive with function result<br> x.d += z.d * cos(x.x) // update derivative using chain rule and derivative of the function<br>}</code></pre><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
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