maths.dual_number_automatic_differentiation
===========================================

.. py:module:: maths.dual_number_automatic_differentiation


Classes
-------

.. autoapisummary::

   maths.dual_number_automatic_differentiation.Dual


Functions
---------

.. autoapisummary::

   maths.dual_number_automatic_differentiation.differentiate
   maths.dual_number_automatic_differentiation.f


Module Contents
---------------

.. py:class:: Dual(real, rank)

   .. py:method:: __add__(other)


   .. py:method:: __floordiv__(other)


   .. py:method:: __mul__(other)


   .. py:method:: __pow__(n)


   .. py:method:: __repr__()


   .. py:method:: __sub__(other)


   .. py:method:: __truediv__(other)


   .. py:method:: reduce()


   .. py:attribute:: __radd__


   .. py:attribute:: __rmul__


   .. py:attribute:: real


.. py:function:: differentiate(func, position, order)

   >>> differentiate(lambda x: x**2, 2, 2)
   2
   >>> differentiate(lambda x: x**2 * x**4, 9, 2)
   196830
   >>> differentiate(lambda y: 0.5 * (y + 3) ** 6, 3.5, 4)
   7605.0
   >>> differentiate(lambda y: y ** 2, 4, 3)
   0
   >>> differentiate(8, 8, 8)
   Traceback (most recent call last):
       ...
   ValueError: differentiate() requires a function as input for func
   >>> differentiate(lambda x: x **2, "", 1)
   Traceback (most recent call last):
       ...
   ValueError: differentiate() requires a float as input for position
   >>> differentiate(lambda x: x**2, 3, "")
   Traceback (most recent call last):
       ...
   ValueError: differentiate() requires an int as input for order


.. py:function:: f(y)