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    <title>MaplePrimes - comments on Post, implicit differentiation with the chain rule</title>
    <link>http://www.mapleprimes.com/posts/38233-Implicit-Differentiation-With-The-Chain-Rule</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Thu, 11 Jun 2026 13:46:50 GMT</lastBuildDate>
    <pubDate>Thu, 11 Jun 2026 13:46:50 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The latest comments added to the Post, implicit differentiation with the chain rule</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - comments on Post, implicit differentiation with the chain rule</title>
      <link>http://www.mapleprimes.com/posts/38233-Implicit-Differentiation-With-The-Chain-Rule</link>
    </image>
    <item>
      <title>differentiation with the chain rule</title>
      <link>http://www.mapleprimes.com/posts/38233-Implicit-Differentiation-With-The-Chain-Rule?ref=Feed:MaplePrimes:implicit differentiation with the chain rule:Comments#comment68513</link>
      <itunes:summary>&lt;pre&gt;
&amp;gt; convert(simplify(diff(sqrt(u(x)^2),x)),abs) assuming u(x)::real;
                                     /d      \
                                u(x) |-- u(x)|
                                     \dx     /
                                --------------
                                   | u(x) |
 
&amp;gt; PDEtools:-declare(u(x));
                        u(x) will now be displayed as u
 
&amp;gt; convert(simplify(diff(sqrt(u(x)^2),x)),abs) assuming u(x)::real;
                                    u u[x]
                                    ------
                                    | u |
&lt;/pre&gt;
&lt;p&gt;acer&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, implicit differentiation with the chain rule</description>
      <guid>68513</guid>
      <pubDate>Mon, 08 Dec 2008 21:26:11 Z</pubDate>
      <itunes:author>acer</itunes:author>
      <author>acer</author>
    </item>
    <item>
      <title>PDEtools error</title>
      <link>http://www.mapleprimes.com/posts/38233-Implicit-Differentiation-With-The-Chain-Rule?ref=Feed:MaplePrimes:implicit differentiation with the chain rule:Comments#comment68389</link>
      <itunes:summary>&lt;p&gt;Sorry to take so long to continue this thread.&amp;nbsp; The first command is OK but the second&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; PDEtools:-declare(u(x));&lt;/p&gt;
&lt;p&gt;gives the error message&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 'PDEtools' does not evaluate to a module.&lt;/p&gt;
&lt;p&gt;How to fix this?&lt;/p&gt;
&lt;p&gt;Alla&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, implicit differentiation with the chain rule</description>
      <guid>68389</guid>
      <pubDate>Wed, 17 Dec 2008 00:19:56 Z</pubDate>
      <itunes:author>alla</itunes:author>
      <author>alla</author>
    </item>
    <item>
      <title>PDEtools</title>
      <link>http://www.mapleprimes.com/posts/38233-Implicit-Differentiation-With-The-Chain-Rule?ref=Feed:MaplePrimes:implicit differentiation with the chain rule:Comments#comment82407</link>
      <itunes:summary>&lt;p&gt;I guess you're using an earlier version of Maple: in Maple 12 it would work, but in some earlier versions PDEtools is still a table-based package.&amp;nbsp; So:&lt;/p&gt;
&lt;pre&gt;
&amp;gt; PDEtools[declare](u(x));
&lt;/pre&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp; &lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, implicit differentiation with the chain rule</description>
      <guid>82407</guid>
      <pubDate>Wed, 17 Dec 2008 00:49:49 Z</pubDate>
      <itunes:author>Robert Israel</itunes:author>
      <author>Robert Israel</author>
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