Revision as of 05:13, 25 July 2021

Calculus

This is a course that Henry and Ben are studying during 2021.

$(x^{n})'=n*x^{n-1}$

The sum rule in Newton notation is $(f+g)'=f'+g'$
The sum rule in Leibniz notation is ${d(f+g) \over dx}={df \over dx}+{dg \over dx}$

The Quotient Rule 2 ${d({f \over g}) \over dx}={g{df \over dx}-f{dg \over dx} \over g^{2}}$

$[f(g(x))]'=f'(g(x))*g'(x)$

${\frac {df(g(x))}{dx}}={{df(g)} \over dg}{dg \over dx}$

@@ Line 7: / Line 7: @@
 ====[[Calculus:Derivative of Polynomial Functions|Derivative of Polynomial Functions]]====
-#The sum Rule 1<math>(f+g)'=f'+g'</math>
+#The sum rule in [[use Notation::Newton]] notation is <math>(f+g)'=f'+g'</math>
-#The sum Rule 2<math>{d (f+g) \over d x} ={d f \over d x} + {d g \over d x}</math>
+#The sum rule in [[use Notation:: Leibniz]] notation is <math>{d (f+g) \over d x} ={d f \over d x} + {d g \over d x}</math>
 #The Difference Rule 1 <math>(f-g)'=f'-g'</math>