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@@ -1429,7 +1429,7 @@ This is the assembly of the ~#:larcs.manipulate~ package. It includes, in corre
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:CREATED: <2016-07-18 Mon 18:20>
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:END:
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-* WORKING Symbolic Differentiation [3/4]
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+* DONE Symbolic Differentiation [4/4]
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:PROPERTIES:
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:CREATED: <2016-06-13 Mon 22:45>
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:ID: 552f402a-a25d-4f28-94af-17934c38a529
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@@ -1500,7 +1500,7 @@ Rules are stored rather simply, in a list of cons cells, with the ~CAR~ being th
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(defvar *rules* '())
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#+END_SRC
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-** WORKING Rules [8/9]
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+** DONE Rules [9/9]
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:PROPERTIES:
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:CREATED: <2016-06-13 Mon 22:52>
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:ID: fdcebadd-b53d-4f59-99a4-4a3782e017a2
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@@ -1667,11 +1667,19 @@ Following the same pattern as for additives, subtractives map over, deriving eac
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`(- ,@(map 'list #'(lambda (term) (differentiate term)) terms)))
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#+END_SRC
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-*** TODO Exponentials and Logarithmics
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+*** DONE Exponentials and Logarithmics
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+CLOSED: [2016-08-20 Sat 13:39]
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:PROPERTIES:
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:CREATED: <2016-06-14 Tue 10:37>
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:END:
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+There are four types of functions that are supported:
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+
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+ - Natural Exponentials :: Effectively this returns itself.
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+ - Exponentials :: The original function multiplied by the log of the base.
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+ - Natural Logarithmics :: The derivative of the function being passed to $\ln$ over the same function.
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+ - Logarithmics :: The derivative of the natural log of the expression over the log of the base times the expression.
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+
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#+Caption: Exponentials and Logarithms
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#+Name: sd-exponentials-and-logarithms
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#+BEGIN_SRC lisp
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