(高三下數學) 多項式函數的微積分 2-2 函數性質的判定


中英文版(高三下數學)第二章第二節 函數性質的判定 ( 函數的遞增與遞減 / 函數的凹向性 /  函數的反曲點 / 多項式函數的圖形與變化 /多項式函數的極值 )
【微積分/Calculus】3-1 臨界點/函數極值/Finding Absolute Extrema
https://www.youtube.com/watch?v=hIV11n-0j04


【微積分/Calculus】3-2 遞增遞減/單調性
https://www.youtube.com/watch?v=aKP0a-Qo7CE


【微積分/Calculus】3-3 凹性/反曲點/Concavity
https://www.youtube.com/watch?v=fdxzY6dzxrc&t=11s


【微積分/Calculus】3-5 函數繪圖/Graphing Functions
https://www.youtube.com/watch?v=MjhUKf0fToc


高中數學_多項式函數的微積分-函數的極值_多項式函數的極值_賴政泓
https://www.youtube.com/watch?v=4TpohiAzNig


高中數學_多項式函數的微積分-函數的極值_極值的一階檢定法_賴政泓
https://www.youtube.com/watch?v=liznlhbOfOU


高中數學_多項式函數的微積分-函數的極值_極值的二階檢定法_賴政泓
https://www.youtube.com/watch?v=hRoewv8Nz38


高中數學_多項式函數的微積分-函數的極值_指考經典試題解析_賴政泓
https://www.youtube.com/watch?v=9LgsQ6Mku6A


高三進度|微積分|EP7.1 泰勒展開式|楊翰數學
https://youtu.be/QLTQA20_oV0?si=oUV28huoZBtolvhn


高三進度|微積分|EP7.2 泰勒展開式的應用|楊翰數學
https://youtu.be/ugH1Tvq6Chc?si=bNIJiDEDNdNOrjtX


高三進度|微積分|EP8.1 函數的單調性|楊翰數學
https://youtu.be/KulDZwJm6O8?si=HG1sDBr2VvKwEfhc


高三進度|微積分|EP8.2 函數的凹向性(1)|楊翰數學
https://youtu.be/GAan9J3ApfQ?si=P4iGELzBvkTKd-6E


高三進度|微積分|EP8.3 函數的凹向性(2)|楊翰數學
https://youtu.be/6t3exRGHiu0?si=cTfRjD38ea0Ju_ad


高三進度|微積分|EP9.1 多項式函數的圖形繪製(1)|楊翰數學
https://youtu.be/BmMnoHgFXTg?si=y8AQGlb0wjidGJDD


高三進度|微積分|EP9.2 多項式函數的圖形繪製(2)|楊翰數學
https://youtu.be/sVhqhEQ1clk?si=1dyujF7Tx6BIlpog


高三進度|微積分|EP9.3 多項式函數的圖形繪製(3)|楊翰數學
https://youtu.be/n6GklWWSQmo?si=yQKw9o2Rt5srs-18


高三進度|微積分|EP9.4 多項式函數的圖形繪製(4)|楊翰數學
https://youtu.be/wbhmSccc2g0?si=s6_yZKWdYeSW0Zrp


高三進度|微積分|EP9.5 多項式函數的圖形繪製(5)|楊翰數學
https://youtu.be/SzvhiwOS8Wo?si=NLGGZupzk45hleYb


高三進度|微積分|EP10.1 多項式函數的極值(1)|楊翰數學
https://youtu.be/DWGeUQ66Xso?si=zwAw_RS_nvlNrwM0


高三進度|微積分|EP10.2 多項式函數的極值(2)|楊翰數學
https://youtu.be/HNYMewiOzck?si=qObz5CrEs17Bcbhd


高三進度|微積分|EP10.3 多項式函數的極值(3)|楊翰數學
https://youtu.be/63BSK5FT9Lg?si=En-yi9loXDPWLJtD


高中_數學_多項式函數的微積分_遞增遞減、凹向性、反曲點
https://www.youtube.com/watch?v=ElllVvTmG68


高中_數學_惠文高中_多項式函數的微積分_函數圖形的凹向性
https://www.youtube.com/watch?v=EBWea0ZpJCE


高中_數學_多項式函數的微積分_多項式函數的圖形與變化
https://www.youtube.com/watch?v=4k056MIlp04


高中_數學_導數的應用-極值
https://www.youtube.com/watch?v=SMWqmdxOgyw
https://www.youtube.com/watch?v=998WFD2gkUk
https://www.youtube.com/watch?v=GndQLroYiZY
https://www.youtube.com/watch?v=R5x5RHItEI4

https://www.youtube.com/watch?v=For0u6ymCW4


Increasing and Decreasing Functions - Calculus
https://www.youtube.com/watch?v=Dyl7jPlJXOM


Concavity, Inflection Points, Increasing Decreasing, First & Second Derivative - Calculus
https://www.youtube.com/watch?v=15awMHeP1Yc


Find the inflection points for f(x) = x^4 - 4x^3 +4.
https://www.youtube.com/watch?v=wJPmDAfUIQ0


How To Graph Polynomial Functions Using End Behavior, Multiplicity & Zeros
https://www.youtube.com/watch?v=a5x4lwnvHM0


Calculus 1: Summary of Curve Sketching (Section 4.5) | Math with Professor V
https://www.youtube.com/watch?v=5Mp04Tg2-u4


Calculus AB/BC – 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
https://www.youtube.com/watch?v=ZIqfI2QVLRI


Absolute & Local Minimum and Maximum Values - Relative Extrema, Critical Numbers / Points Calculus
https://www.youtube.com/watch?v=VZuJ4bGj2D0


Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions
https://www.youtube.com/watch?v=Mx39JbbzEAo


Calculus 1 Lecture 3.2: A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem.
https://www.youtube.com/watch?v=qW89xdGfSzw


Calculus 1 Lecture 3.3: The First Derivative Test for Increasing and Decreasing
https://www.youtube.com/watch?v=nQ6tOORDQ3I


Calculus 1 Lecture 3.4: The Second Derivative Test for Concavity of Functions
https://www.youtube.com/watch?v=29GbRaQxtzY


Calculus 1 Lecture 3.5: Limits of Functions at Infinity
https://www.youtube.com/watch?v=-PYebK8DKPc


Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions
https://www.youtube.com/watch?v=8u6woY05aL0


Calculus 1 Lecture 3.7: Optimization; Max/Min Application Problems
https://www.youtube.com/watch?v=SWZcq_biZLw


Finding decreasing interval given the function | Calculus | Khan Academy
https://www.youtube.com/watch?v=Fk4pn8ZOy1w


Finding increasing interval given the derivative | AP Calculus AB | Khan Academy
https://www.youtube.com/watch?v=sOluh1zX5tE


How to determine the intervals that a function is increasing decreasing or constant
https://www.youtube.com/watch?v=t8s5Iso2a4E


Learn how to determine concavity and point of inflection AP style
https://www.youtube.com/watch?v=xcQ4e86z0rU


Intervals Where Function is Concave Up and Concave Down Polynomial Example
https://www.youtube.com/watch?v=tzkq_oBBEgY


Calculus - Slope, Concavity, Max, Min, and Inflection Point (1 of 4) Trig Function
https://www.youtube.com/watch?v=AY0MUskpaHQ


Calculus - Slope, Concavity, Max, Min, and Inflection Point (2 of 4) 2nd Order Equation
https://www.youtube.com/watch?v=wcioTxaPuf8


Calculus - Slope, Concavity, Max, Min, and Inflection Point (3 of 4) 3nd Order Equation
https://www.youtube.com/watch?v=pQT2fZRMcf4


Calculus - Slope, Concavity, Max, Min, and Inflection Point (4 of 4) Trig Function
https://www.youtube.com/watch?v=FrP78DgWgbA


Calculus I - Concavity and Inflection Points - Example 1
https://www.youtube.com/watch?v=3TJLOCYrTes


Calculus I - Concavity and Inflection Points - Example 2
https://www.youtube.com/watch?v=sh4oG4vMbgA


Calculus I - Concavity and Inflection Points - Example 3
https://www.youtube.com/watch?v=5pWhWX13Xt0


Curve Sketching with Asymptotes - A Step by Step Example Using Calculus
https://www.youtube.com/watch?v=FEwNJ2HFsB4


Graphing a Polynomial Equation :: Curve Sketching Using Calculus
https://www.youtube.com/watch?v=aesw9FeSXjI


Sketching the Graph of a Polynomial Function With Calculus - A Step by Step Example
https://www.youtube.com/watch?v=k_8FcfGCbQ0


Absolute max and min values Problem 1 (Multivariable Calculus)
https://www.youtube.com/watch?v=_5gB5sC0Ra4


Calculus 1: Optimization Problems (Section 4.7) | Math with Professor V
https://www.youtube.com/watch?v=bW1O4W-qsFw


Differentiation : Increasing & Decreasing Functions : ExamSolutions
https://www.youtube.com/watch?v=CA9eNbFW5SE


Concavity introduction | Using derivatives to analyze functions | AP Calculus AB | Khan Academy
https://www.youtube.com/watch?v=LcEqOzNov4E


Point of Inflection - Point of Inflexion - f''(x)=0 - Definition - How to Find - Worked Example 1
https://www.youtube.com/watch?v=8lhGZTZ-b7M


Curve Sketching - First & Second Derivatives - Graphing Rational Functions & Asymptotes - Calculus
https://www.youtube.com/watch?v=WqRPFvZWF0k


Relative extrema (max and min) and Calculus
https://www.youtube.com/watch?v=BH7kvZbkQC8

 


部分資料來源: 學習吧
https://www.learnmode.net/knowledge/version?p=26#focus

 

 

 

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