Revision as of 08:20, 26 July 2021

Calculus

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

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

The sum rule ${d(f+g) \over dx}={df \over dx}+{dg \over dx}$
The Difference Rule ${d(f-g) \over dx}={df \over dx}-{dg \over dx}$
The Product Rule ${d(fg) \over dx}'=f{dg \over dx}+g{df \over dx}$
The Quotient Rule ${d({f \over g}) \over dx}={g{df \over dx}-f{dg \over dx} \over g^{2}}$

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 This is a course that [[Henry Koo|Henry]] and [[Ben Koo|Ben]] are studying during 2021.
 ==Differentiation==
-====[[Calculus:Limits|Limits]]====
+===[[Calculus:Limits|Limits]]===
-====[[Calculus:Power Rule|Power Rule]]====
+===[[Calculus:Power Rule|Power Rule]]===
 <math>(x^n)' = n*x^{n-1}</math>
-====[[Calculus:Derivative of Polynomial Functions|Derivative of Polynomial Functions]]====
+===[[Calculus:Derivative of Polynomial Functions|Derivative of Polynomial Functions]]===
 =======[[use Notation::Newton]] Derivative of Polynomial Functions=======
 #The sum rule <math>(f+g)'=f'+g'</math>
@@ Line 17: / Line 17: @@
 #The Product Rule <math>{d (f g) \over d x}'= f {d g \over d x} + g {d f \over d x}</math>
 #The Quotient Rule <math>{d ({f \over g})  \over d x} = {  g {d f \over d x} - f {d g \over d x} \over g^2} </math>
-====[[Calculus:Derivative of Trigonometric Functions|Derivative of Trigonometric Functions]]====
+===[[Calculus:Derivative of Trigonometric Functions|Derivative of Trigonometric Functions]]===
 #<math>(sin x)'= cos(x)</math>
 #<math>(cos x)'= -sin(x)</math>