Difference between revisions of "Calculus"
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==Differentiation== | ==Differentiation== | ||
====[[Calculus:Limits|Limits]]==== | ====[[Calculus:Limits|Limits]]==== | ||
====[[Calculus:Power Rule==== | ====[[Calculus:Power Rule|Power Rule]]==== | ||
<math>(x^n)' = n*x^{n-1}</math> | <math>(x^n)' = n*x^{n-1}</math> | ||
====Derivative of Polynomial Functions==== | ====[[Calculus:Derivative of Polynomial Functions|Derivative of Polynomial Functions]]==== | ||
#The sum Rule <math>(f+g)'=f'+g'</math> | #The sum Rule <math>(f+g)'=f'+g'</math> | ||
#The Difference Rule <math>(f-g)'=f'-g'</math> | #The Difference Rule <math>(f-g)'=f'-g'</math> | ||
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#The Quotient Rule <math>({f \over g})' = {(gf'-fg') \over g^2} </math> | #The Quotient Rule <math>({f \over g})' = {(gf'-fg') \over g^2} </math> | ||
====Derivative of Trigonometric Functions==== | ====[[Calculus:Derivative of Trigonometric Functions|Derivative of Trigonometric Functions]]==== | ||
#<math>(sin x)'= cos(x)</math> | #<math>(sin x)'= cos(x)</math> | ||
#<math>(cos x)'= -sin(x)</math> | #<math>(cos x)'= -sin(x)</math> | ||
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#<math>(csc x)'= -csc(x) cot(x)</math> | #<math>(csc x)'= -csc(x) cot(x)</math> | ||
#<math>(sec x)'= sec(x) tan(x)</math> | #<math>(sec x)'= sec(x) tan(x)</math> | ||
====Chain Rule==== | ====[[Calculus:Chain Rule|Chain Rule]]==== | ||
<math>[f(g(x))]'=f'(g(x))*g'(x)</math> | <math>[f(g(x))]'=f'(g(x))*g'(x)</math> | ||
==Integration== | ==Integration== | ||
Revision as of 11:40, 24 July 2021
Calculus
This is a course that Henry and Ben are studying during 2021.
Differentiation
Limits
Power Rule
Derivative of Polynomial Functions
- The sum Rule
- The Difference Rule
- The Product Rule
- The Quotient Rule
Derivative of Trigonometric Functions
Chain Rule
![{\displaystyle [f(g(x))]'=f'(g(x))*g'(x)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c54bd493d6878d3b0c6779a32bb44dafdd87335e)