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<html><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><title>Symbolic Operations</title><meta name="generator" content="DocBook XSL Stylesheets Vsnapshot"><link rel="home" href="index.html" title="Genius Manual"><link rel="up" href="ch11.html" title="Chapter 11. List of GEL functions"><link rel="prev" href="ch11s18.html" title="Miscellaneous"><link rel="next" href="ch11s20.html" title="Plotting"></head><body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">Symbolic Operations</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="ch11s18.html">Prev</a> </td><th width="60%" align="center">Chapter 11. List of GEL functions</th><td width="20%" align="right"> <a accesskey="n" href="ch11s20.html">Next</a></td></tr></table><hr></div><div class="sect1"><div class="titlepage"><div><div><h2 class="title" style="clear: both"><a name="genius-gel-function-list-symbolic"></a>Symbolic Operations</h2></div></div></div><div class="variablelist"><dl class="variablelist"><dt><span class="term"><a name="gel-function-SymbolicDerivative"></a>SymbolicDerivative</span></dt><dd><pre class="synopsis">SymbolicDerivative (f)</pre><p>Attempt to symbolically differentiate the function f, where f is a function of one variable.</p><p>
Examples:
</p><pre class="screen"><code class="prompt">genius></code> <strong class="userinput"><code>SymbolicDerivative(sin)</code></strong>
= (`(x)=cos(x))
<code class="prompt">genius></code> <strong class="userinput"><code>SymbolicDerivative(`(x)=7*x^2)</code></strong>
= (`(x)=(7*(2*x)))
</pre><p>
</p><p>
See
<a class="ulink" href="https://en.wikipedia.org/wiki/Derivative" target="_top">Wikipedia</a> for more information.
</p></dd><dt><span class="term"><a name="gel-function-SymbolicDerivativeTry"></a>SymbolicDerivativeTry</span></dt><dd><pre class="synopsis">SymbolicDerivativeTry (f)</pre><p>Attempt to symbolically differentiate the function f, where f is a function of one variable, returns <code class="constant">null</code> if unsuccessful but is silent.
(See <a class="link" href="ch11s19.html#gel-function-SymbolicDerivative"><code class="function">SymbolicDerivative</code></a>)
</p><p>
See
<a class="ulink" href="https://en.wikipedia.org/wiki/Derivative" target="_top">Wikipedia</a> for more information.
</p></dd><dt><span class="term"><a name="gel-function-SymbolicNthDerivative"></a>SymbolicNthDerivative</span></dt><dd><pre class="synopsis">SymbolicNthDerivative (f,n)</pre><p>Attempt to symbolically differentiate a function n times.
(See <a class="link" href="ch11s19.html#gel-function-SymbolicDerivative"><code class="function">SymbolicDerivative</code></a>)
</p><p>
See
<a class="ulink" href="https://en.wikipedia.org/wiki/Derivative" target="_top">Wikipedia</a> for more information.
</p></dd><dt><span class="term"><a name="gel-function-SymbolicNthDerivativeTry"></a>SymbolicNthDerivativeTry</span></dt><dd><pre class="synopsis">SymbolicNthDerivativeTry (f,n)</pre><p>Attempt to symbolically differentiate a function n times quietly and return <code class="constant">null</code> on failure
(See <a class="link" href="ch11s19.html#gel-function-SymbolicNthDerivative"><code class="function">SymbolicNthDerivative</code></a>)
</p><p>
See
<a class="ulink" href="https://en.wikipedia.org/wiki/Derivative" target="_top">Wikipedia</a> for more information.
</p></dd><dt><span class="term"><a name="gel-function-SymbolicTaylorApproximationFunction"></a>SymbolicTaylorApproximationFunction</span></dt><dd><pre class="synopsis">SymbolicTaylorApproximationFunction (f,x0,n)</pre><p>Attempt to construct the Taylor approximation function around x0 to the nth degree.
(See <a class="link" href="ch11s19.html#gel-function-SymbolicDerivative"><code class="function">SymbolicDerivative</code></a>)
</p></dd></dl></div></div><div class="navfooter"><hr><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"><a accesskey="p" href="ch11s18.html">Prev</a> </td><td width="20%" align="center"><a accesskey="u" href="ch11.html">Up</a></td><td width="40%" align="right"> <a accesskey="n" href="ch11s20.html">Next</a></td></tr><tr><td width="40%" align="left" valign="top">Miscellaneous </td><td width="20%" align="center"><a accesskey="h" href="index.html">Home</a></td><td width="40%" align="right" valign="top"> Plotting</td></tr></table></div></body></html>
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