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Next: <a href="numgradient.html#numgradient" accesskey="n" rel="next">numgradient</a>, Previous: <a href="dfpdp.html#dfpdp" accesskey="p" rel="prev">dfpdp</a>, Up: <a href="Gradient-functions.html#Gradient-functions" accesskey="u" rel="up">Gradient functions</a> [<a href="Function-index.html#Function-index" title="Index" rel="index">Index</a>]</p>
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<a name="Higher-order-numerical-derivatives"></a>
<h3 class="section">4.2 Higher order numerical derivatives</h3>
<a name="index-deriv-4"></a>
<a name="XREFderiv"></a><dl>
<dt><a name="index-deriv"></a>Function File: <em><var>dx</var> =</em> <strong>deriv</strong> <em>(<var>f</var>, <var>x0</var>)</em></dt>
<dt><a name="index-deriv-1"></a>Function File: <em><var>dx</var> =</em> <strong>deriv</strong> <em>(<var>f</var>, <var>x0</var>, <var>h</var>)</em></dt>
<dt><a name="index-deriv-2"></a>Function File: <em><var>dx</var> =</em> <strong>deriv</strong> <em>(<var>f</var>, <var>x0</var>, <var>h</var>, <var>O</var>)</em></dt>
<dt><a name="index-deriv-3"></a>Function File: <em><var>dx</var> =</em> <strong>deriv</strong> <em>(<var>f</var>, <var>x0</var>, <var>h</var>, <var>O</var>, <var>N</var>)</em></dt>
<dd><p>Calculate derivate of function <var>f</var>.
</p>
<p><var>f</var> must be a function handle or the name of a function that takes <var>x0</var>
and returns a variable of equal length and orientation. <var>x0</var> must be a
numeric vector or scalar.
</p>
<p><var>h</var> defines the step taken for the derivative calculation. Defaults to 1e-7.
</p>
<p><var>O</var> defines the order of the calculation. Supported values are 2 (h^2 order)
or 4 (h^4 order). Defaults to 2.
</p>
<p><var>N</var> defines the derivative order. Defaults to the 1st derivative of the
function. Can be up to the 4th derivative.
</p>
<p>Reference: Numerical Methods for Mathematics, Science, and Engineering by
John H. Mathews.
</p></dd></dl>
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