|
|
@@ -1500,7 +1500,7 @@ Rules are stored rather simply, in a list of cons cells, with the ~CAR~ being th
|
|
|
(defvar *rules* '())
|
|
|
#+END_SRC
|
|
|
|
|
|
-** WORKING Rules [3/9]
|
|
|
+** WORKING Rules [4/9]
|
|
|
:PROPERTIES:
|
|
|
:CREATED: <2016-06-13 Mon 22:52>
|
|
|
:ID: fdcebadd-b53d-4f59-99a4-4a3782e017a2
|
|
|
@@ -1584,12 +1584,15 @@ A Polynomial Term is a bit more complex than the previous two, the rewrite rule
|
|
|
`(* ,(* coefficient power) (expt ,variable ,(1- power)))))))
|
|
|
#+END_SRC
|
|
|
|
|
|
-*** TODO Multiplicatives
|
|
|
+*** DONE Multiplicatives
|
|
|
+CLOSED: [2016-08-19 Fri 20:21]
|
|
|
:PROPERTIES:
|
|
|
:CREATED: <2016-06-14 Tue 09:57>
|
|
|
:ID: 161906a4-5c14-4a84-bf1d-7fae9e20b14f
|
|
|
:END:
|
|
|
|
|
|
+Differentiation of Multiplicative equations are performed by the product rule. This is defined as $\frac{\mathrm{d}}{\mathrm{d}x} f(x) \cdot g(x) = f(x) \cdot g^{\prime}(x) + f^{\prime}(x) \cdot g(x)$. There are some minor exceptions, if $f(x)$ and $g(x)$ are numeric, then the result is the product of the two; if either $f(x)$ or $g(x)$ is numeric and the other is not, then the numeric is placed in front of the other derivative of the remainder.
|
|
|
+
|
|
|
#+Caption: Multiplicatives
|
|
|
#+Name: sd-multiplicatives
|
|
|
#+BEGIN_SRC lisp
|
