|
@@ -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 [7/9]
|
|
|
+** WORKING Rules [8/9]
|
|
|
:PROPERTIES:
|
|
|
:CREATED: <2016-06-13 Mon 22:52>
|
|
|
:ID: fdcebadd-b53d-4f59-99a4-4a3782e017a2
|
|
@@ -1614,12 +1614,15 @@ Differentiation of Multiplicative equations are performed by the product rule.
|
|
|
(differentiate `(* ,first (* ,@rest)))))
|
|
|
#+END_SRC
|
|
|
|
|
|
-*** TODO Rationals
|
|
|
+*** DONE Rationals
|
|
|
+CLOSED: [2016-08-20 Sat 13:28]
|
|
|
:PROPERTIES:
|
|
|
:CREATED: <2016-06-14 Tue 10:21>
|
|
|
:ID: cd681a61-a143-4e02-a6a9-e7b8f9b9c77d
|
|
|
:END:
|
|
|
|
|
|
+This follows the quotient rule, which is defined as $\frac{\mathrm{d}}{\mathrm{d}x} \frac{f(x)}{g(x)} = \frac{f^{\prime}(x)g(x) - f(x)g^{\prime}(x)}{g(x)^2}$.
|
|
|
+
|
|
|
#+Caption: Rational Derivatives
|
|
|
#+Name: sd-rationals
|
|
|
#+BEGIN_SRC lisp
|