<title>Finding the Cubed Root With and Without Derivatives</title>
<link rel="stylesheet" href="../../math.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
-<link rel="home" href="../../index.html" title="Math Toolkit 2.10.0">
+<link rel="home" href="../../index.html" title="Math Toolkit 2.11.0">
<link rel="up" href="../root_finding_examples.html" title="Examples of Root-Finding (with and without derivatives)">
<link rel="prev" href="../root_finding_examples.html" title="Examples of Root-Finding (with and without derivatives)">
<link rel="next" href="lambda.html" title="Using C++11 Lambda's">
<p>
So the equation we want to solve is:
</p>
-<p>
-    <span class="emphasis"><em>f(x) = x³ -a</em></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="serif_italic"><span class="emphasis"><em>f(x) = x³ -a</em></span></span>
+ </p></blockquote></div>
<p>
We will first solve this without using any information about the slope or
curvature of the cube root function.
that returns both the evaluation of the function to solve, along with its
first <span class="bold"><strong>and second</strong></span> derivative:
</p>
-<p>
-   <span class="emphasis"><em>f''(x) = 6x</em></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="serif_italic"><span class="emphasis"><em>f''(x) = 6x</em></span></span>
+ </p></blockquote></div>
<p>
using information about both slope and curvature to speed convergence.
</p>