AP Calculus BC Comprehensive Review - Short Lessons Collection

AP Calculus BC Comprehensive Review - Short Lessons Collection

Krista King via YouTube Direct link

šŸ˜µā€šŸ’«How to knowšŸ˜µā€šŸ’« which derivative rule to start with! šŸ¤“šŸ¤“ #apcalculus #apcalc #unit3 #shorts

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šŸ˜µā€šŸ’«How to knowšŸ˜µā€šŸ’« which derivative rule to start with! šŸ¤“šŸ¤“ #apcalculus #apcalc #unit3 #shorts

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AP Calculus BC Comprehensive Review - Short Lessons Collection

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  1. 1 Proportional growth rate simplified! šŸ“ˆšŸ¤“ #apcalculus #apcalc #unit7 #shorts
  2. 2 Reversing šŸ”„ power rule to integrate polynomials šŸ˜Ž #apcalculus #apcalc #unit6 #shorts
  3. 3 Average rate of change to estimate šŸ¤­ the derivative āœļøāœļø #apcalculus #apcalc #unit2 #shorts
  4. 4 The āž• sign āž– of the definite integral tells us about net area šŸ“¶šŸ§ #apcalculus #apcalc #unit6 #shorts
  5. 5 Turning the general solution into šŸ‘‰ a particular solution šŸ“ #apcalculus #apcalc #unit7 #shorts
  6. 6 Keep the constant coefficient when you differentiate! šŸ„ø #apcalculus #apcalc #unit2 #shorts
  7. 7 WHEN is an integral improper?!! šŸ¤”šŸ¤” #apcalculus #apcalc #unit6 #shorts
  8. 8 Differential equations šŸ¤relatešŸ¤ functions to their derivatives #apcalculus #apcalc #unit7 #shorts
  9. 9 Differentiable, continuous, or BOTH?!! šŸ¤·šŸ»ā€ā™€ļøšŸ¤Æ #apcalculus #apcalc #unit2 #shorts
  10. 10 How to šŸƒšŸ’Ø QUICKLY set up Riemann sum approximations šŸ“¶ #apcalculus #apcalc #unit6 #shorts
  11. 11 Sketch the slope field ā†—ļø of a differential equation FAST! šŸš€šŸš€ #apcalculus #apcalc #unit7 #shorts
  12. 12 Sketching piecewise functions šŸ“‰ step-by-step!! šŸ¤“ #apcalculus #apcalc #unit2 #shorts
  13. 13 Euler's method āœļø for approximating DE solutions šŸ˜µā€šŸ’«šŸ˜µā€šŸ’« #apcalculus #apcalc #unit7 #shorts
  14. 14 Converting from AVERAGE šŸ‘‰ INSTANTANEOUS rate of change šŸ˜³ #apcalculus #apcalc #unit2 #shorts
  15. 15 How to get the infinite bounds šŸ¤œ OUT šŸ¤œ of improper integrals #apcalculus #apcalc #unit6 #shorts
  16. 16 How solution curves are ā›“ļøBOUNDEDā›“ļø in a direction field #apcalculus #apcalc #unit7 #shorts
  17. 17 The āœ…EASYāœ… way to find average rate of change #apcalculus #apcalc #unit2 #shorts
  18. 18 Integration with šŸ”„SUBSTITUTIONšŸ”„ #apcalculus #apcalc #unit6 #shorts
  19. 19 šŸ”®TransformingšŸ”® the difference quotient šŸ‘‰intošŸ‘‰ the derivative #apcalculus #apcalc #unit2 #shorts
  20. 20 Finding šŸ¦carrying capacityšŸ¦ from a logistic equation āœļøāœļø #apcalculus #apcalc #unit7 #shorts
  21. 21 Fundamental Theorem of Calculus: šŸ¤gā€™=fšŸ¤ #apcalculus #apcalc #unit6 #shorts
  22. 22 Differentiable if āœ…1. continuous AND āœ…2. smooth šŸ¤“šŸ¤“ #apcalculus #apcalc #unit2 #shorts
  23. 23 Equilibrium solutions of a differential equation āœŒļø ways! šŸ˜Ž #apcalculus #apcalc #unit7 #shorts
  24. 24 All the integration šŸ”ØšŸ”ØtoolsšŸŖššŸŖš you can choose from! #apcalculus #apcalc #unit6 #shorts
  25. 25 The trig derivative ā™»ļøcycleā™»ļø sinšŸ‘‰cosšŸ‘‰-sinšŸ‘‰-cosšŸ‘‰sin #apcalculus #apcalc #unit2 #shorts
  26. 26 šŸ‘RespectšŸ‘ the equilibrium solutions! #apcalculus #apcalc #unit7 #shorts
  27. 27 Trapezoidal Rule, but make it āœ…step-āœ…by-āœ…step šŸ¤™ #apcalculus #apcalc #unit6 #shorts
  28. 28 How to šŸ¤¹ā€ā™‚ļøjugglešŸŽŖ multiple derivative rules at the same time! #apcalculus #apcalc #unit2 #shorts
  29. 29 3 āœ…EASYāœ… steps for solving šŸ‘ˆSEPARABLEšŸ‘‰ differential equations #apcalculus #apcalc #unit7 #shorts
  30. 30 šŸŸ¦Complete the squarešŸŸ¦ or use ā†Ŗļøpartial fractionsā†©ļø??! #apcalculus #apcalc #unit6 #shorts
  31. 31 Using šŸ’ŖPOWERšŸ’Ŗ rule to take derivatives #apcalculus #apcalc #unit2 #shorts
  32. 32 šŸ”‘KeyšŸ”‘ characteristics of the exponential growth šŸ“ˆ equation #apcalculus #apcalc #unit7 #shorts
  33. 33 QUICK šŸ¤«TRICKšŸ¤« for simplifying integrals! #apcalculus #apcalc #unit6 #shorts
  34. 34 Quotient rule for derivatives made EASY šŸ„³šŸ„³ #apcalculus #apcalc #unit2 #shorts
  35. 35 The logistic model for constrained šŸ¦ population growthšŸ¦  #apcalculus #apcalc #unit7 #shorts
  36. 36 Converting Riemann sums šŸ‘‰tošŸ‘‰ definite integrals šŸ¤“šŸ¤“ #apcalculus #apcalc #unit6 #shorts
  37. 37 ā€¼ļøCRITICALā€¼ļø properties of the definite integral! šŸ˜³ #apcalculus #apcalc #unit6 #shorts
  38. 38 Setting up for šŸ§©integration by partsšŸ§© #apcalculus #apcalc #unit6 #shorts
  39. 39 šŸ•µļøā€ā™‚ļøSolving problemsšŸ•µļøā€ā™‚ļø w/ the Fundamental Theorem of Calc #apcalculus #apcalc #unit6 #shorts
  40. 40 Average value šŸ“Š vs average rate of change šŸ“ˆ #apcalculus #apcalc #unit8 #shorts
  41. 41 šŸ’„SUPER FASTšŸ’„ way to sketch āœļø direction fields! #apcalculus #apcalc #unit7 #shorts
  42. 42 šŸ”ØBuildingšŸ”Ø the trig derivatives with quotient rule! šŸ§ #apcalculus #apcalc #unit6 #shorts
  43. 43 šŸ”ŽFindingšŸ”Ž the derivative using a table of values šŸ„øšŸ„ø #apcalculus #apcalc #unit6 #shorts
  44. 44 Easily find the āœ–ļøintersectionāœ–ļø of āœŒļø curves #apcalculus #apcalc #unit8 #shorts
  45. 45 šŸ”LocatingšŸ” a function's horizontal asymptote šŸ•µļøā€ā™‚ļø #apcalculus #apcalc #unit1 #shorts
  46. 46 NEVER choose the āŒwrongāŒ limit method again! šŸ‘Š #apcalculus #apcalc #unit1 #shorts
  47. 47 Using a šŸ—’ļøTABLEšŸ—’ļø to estimate average rate of change šŸ¤“ #apcalculus #apcalc #unit1 #shorts
  48. 48 ALL the limit properties you šŸ„µNEEDšŸ„µ to know! šŸ’Ŗ #apcalculus #apcalc #unit1 #shorts
  49. 49 šŸ“Distance traveledšŸ“ šŸŸ° 怰ļøArc length怰ļø #apcalculus #apcalc #unit8 #shorts
  50. 50 āŒNEVERāŒ choose the wrong 怰ļøarc length怰ļø formula šŸ„µ #apcalculus #apcalc #unit8 #shorts
  51. 51 Area between curves with āœŒļøMULTIPLEāœŒļø INTERSECTIONS?!! šŸ¤ÆšŸ¤Æ #apcalculus #apcalc #unit8 #shorts
  52. 52 Distance āœļøāœļøvs.āœļøāœļø displacement #apcalculus #apcalc #unit8 #shorts
  53. 53 šŸƒšŸ»ā€ā™€ļøQUICKLYšŸƒšŸ»ā€ā™€ļø finding average value over an interval āœļø #apcalculus #apcalc #unit8 #shorts
  54. 54 Implicit differentiation for ā¬…ļøBOTH SIDESāž”ļø of the equation šŸ¤” #apcalculus #apcalc #unit3 #shorts
  55. 55 Someone šŸ˜­šŸ˜­PLEASEšŸ˜­šŸ˜­ explain twice-differentiable functions?!! #apcalculus #apcalc #unit3 #shorts
  56. 56 Differentiating composites with šŸ”—CHAIN RULEšŸ”—! #apcalculus #apcalc #unit3 #shorts
  57. 57 When ā¬‡ļøunder or ā¬†ļøoverestimates are āœ…GUARANTEEDāœ… #apcalculus #apcalc #unit6 #shorts
  58. 58 šŸ”—Chain rulešŸ”— to differentiate functions in x and y ā­ā­ #apcalculus #apcalc #unit3 #shorts
  59. 59 Differentiating x šŸ¤”vs.šŸ¤” differentiating y #apcalculus #apcalc #unit3 #shorts
  60. 60 šŸ˜µā€šŸ’«How to knowšŸ˜µā€šŸ’« which derivative rule to start with! šŸ¤“šŸ¤“ #apcalculus #apcalc #unit3 #shorts
  61. 61 What to do šŸ¤” when substitution doesn't work! šŸ˜­šŸ˜­ #apcalculus #apcalc #unit1 #shorts
  62. 62 šŸ•µļøā€ā™‚ļøšŸ•µļøā€ā™‚ļø DONā€™T GET LOST šŸ”šŸ” in the quotient rule formula! #apcalculus #apcalc #unit3 #shorts
  63. 63 āœŒļø good ways to šŸ”identifyšŸ” inverse functions šŸ¤“ #apcalculus #apcalc #unit3 #shorts
  64. 64 3ļøāƒ£ requirements for the šŸ”„existencešŸ”„ of the general limit āœļø #apcalculus #apcalc #unit1 #shorts
  65. 65 āœļøFactoringāœļø to evaluate a limit? šŸ§® #apcalculus #apcalc #unit1 #shorts
  66. 66 JumpšŸ‘Ÿ vs. PointšŸ”“ vs. Infiniteā™¾ļø discontinuities #apcalculus #apcalc #unit1 #shorts
  67. 67 Use substitution šŸ„µWHENEVER YOU CAN!šŸ„µ #apcalculus #apcalc #unit1 #shorts
  68. 68 Need to find the limit? šŸ§”šŸ§” Just šŸŠSQUEEZEšŸŠ it!! #apcalculus #apcalc #unit1 #shorts
  69. 69 Average rate of change šŸ¤ average vertical change šŸ˜ŽšŸ˜Ž #apcalculus #apcalc #unit1 #shorts
  70. 70 šŸ’ŖTry factoringšŸ’Ŗ if substitution šŸ™„doesn't workšŸ™„ #apcalculus #apcalc #unit1 #shorts
  71. 71 How to solve šŸ‘EVERYšŸ‘ RELATED RATES problem! šŸ’ŖšŸ’Ŗ #apcalculus #apcalc #unit4 #shorts
  72. 72 L'Hospital's Rule šŸ¤ŗvs.šŸ¤ŗ Quotient Rule... Don't mix them up! šŸ‘Øā€šŸ³ #apcalculus #apcalc #unit4 #shorts
  73. 73 Position, velocity, acceleration šŸƒšŸ»ā€ā™€ļøšŸ’Ø #apcalculus #apcalc #unit4 #shorts
  74. 74 ā€¼ļøDO NOTā€¼ļø make this limit mistake on the AP test! šŸ˜³šŸ˜³ #apcalculus #apcalc #unit4 #shorts
  75. 75 šŸ¤”šŸ¤”Will the tangent line šŸ‘over or šŸ‘Žunderestimate??! #apcalculus #apcalc #unit4 #shorts
  76. 76 šŸ”ØBuildingšŸ”Ø the tangent line equation šŸ¤“ #apcalculus #apcalc #unit4 #shorts
  77. 77 šŸ„³QuicklyšŸ„³ find average velocity over an interval šŸ’Ŗ #apcalculus #apcalc #unit4 #shorts
  78. 78 šŸ–¤ConnectingšŸ–¤ position, velocity, and acceleration #apcalculus #apcalc #unit4 #shorts
  79. 79 To infinity and beyond! šŸš€šŸš€ LIMITS at ā¬†ļøverticalā¬‡ļø asymptotes #apcalculus #apcalc #unit1 #shorts
  80. 80 Limits around ā¬†ļøā¬†ļøVERTICAL and āž”ļøāž”ļøHORIZONTAL asymptotes #apcalculus #apcalc #unit1 #shorts
  81. 81 šŸ¤·šŸ»ā€ā™€ļøWhich methodšŸ¤·šŸ»ā€ā™€ļø would YOU choose?! šŸ¤”šŸ¤” #apcalculus #apcalc #unit8 #shorts
  82. 82 Three šŸ¤©EASYšŸ¤© steps for differentiating parametric curves šŸ¤ #apcalculus #apcalc #unit9 #shorts
  83. 83 Differentiate ā†—ļøvector-valuedā†—ļø functions, BUT MAKE IT EASY šŸ˜…šŸ˜… #apcalculus #apcalc #unit9 #shorts
  84. 84 3 EASY šŸ‘ŸSTEPSšŸ‘Ÿ to differentiate a polar curve šŸ¤— #apcalculus #apcalc #unit9 #shorts
  85. 85 šŸ§³TransferringšŸ§³ graphs from Cartesian āž”ļøtoāž”ļø polar coordinates #apcalculus #apcalc #unit9 #shorts
  86. 86 āœŒļø steps to follow EVERY TIME you āœļøsketchāœļø a polar curve #apcalculus #apcalc #unit9 #shorts
  87. 87 Using tables to šŸ„øestimatešŸ„ø a limit #apcalculus #apcalc #unit1 #shorts
  88. 88 ā™¾ļøInfinite limits or limits at ā™¾ļøinfinity??!! šŸ’ā€ā™€ļø #apcalculus #apcalc #unit1 #shorts
  89. 89 What does a limit šŸ™‹šŸ»ā€ā™€ļø ACTUALLY MEAN?!! šŸ¤ÆšŸ¤Æ #apcalculus #apcalc #unit1 #shorts
  90. 90 What the Intermediate Value Theorem šŸ„øACTUALLYšŸ„ø says! #apcalculus #apcalc #unit1 #shorts
  91. 91 How to find šŸŒˆarc lengthšŸŒˆ of ANY parametric curve! #apcalculus #apcalc #unit9 #shorts
  92. 92 šŸļøPosition/Velocity/AccelerationšŸļø for vector-valued functions #apcalculus #apcalc #unit9 #shorts
  93. 93 Limits algebraicallyšŸ””, from a tablešŸ—’ļø, from the graphšŸ“‰ #apcalculus #apcalc #unit1 #shorts
  94. 94 These 3ļøāƒ£ criteria āœ…guaranteeāœ… continuity šŸ’ŖšŸ’Ŗ #apcalculus #apcalc #unit1 #shorts
  95. 95 šŸ•µļøā€ā™€ļøInvestigating šŸ‘†increasing/decreasingšŸ‘‡ behavior #apcalculus #apcalc #unit5 #shorts
  96. 96 Step-by-step šŸ‘ŸšŸ‘Ÿ for the Second Derivative Test šŸ¤“ #apcalculus #apcalc #unit5 #shorts
  97. 97 Candidates Test for šŸ§ØEXTREMAšŸ§Ø! šŸ˜ŽšŸ˜Ž #apcalculus #apcalc #unit5 #shorts
  98. 98 šŸ“LocalšŸ“ vs. šŸŒŽglobalšŸŒŽ extrema on an interval #apcalculus #apcalc #unit5 #shorts
  99. 99 You šŸšØMUSTšŸšØ memorize this table for the AP Calc test! šŸ«” #apcalculus #apcalc #unit5 #shorts
  100. 100 šŸ“ˆGraphingšŸ“‰ functions and their derivatives šŸ¤ÆšŸ¤Æ #apcalculus #apcalc #unit5 #shorts
  101. 101 šŸšØCritical pointsšŸšØ, but with implicit differentiation šŸ¤Æ #apcalculus #apcalc #unit5 #shorts
  102. 102 Creating the šŸ¤©FAMOUSšŸ¤© open-top box šŸ“¦šŸ“¦ #apcalculus #apcalc #unit5 #shorts
  103. 103 Mean Value Theorem, but šŸ™PLEASEšŸ™ make it less confusing šŸ˜­šŸ˜­ #apcalculus #apcalc #unit5 #shorts
  104. 104 šŸšØšŸ§ØCRITICAL FOR AP CALCšŸ§ØšŸšØ: Connecting graphs of f, f', and f'' #apcalculus #apcalc #unit5 #shorts
  105. 105 Polynomial functions are SOOO predictable šŸ™„šŸ™„šŸ„± #apcalculus #apcalc #unit5 #shorts
  106. 106 The nth term test šŸšØONLYšŸšØ determines divergence! šŸ¤“ #apcalculus #apcalc #unit10 #shorts
  107. 107 Using the āœļøintegral testāœļø for convergence šŸ”„šŸ”„ #apcalculus #apcalc #unit10 #shorts
  108. 108 šŸ¤·šŸ»ā€ā™€ļøšŸ¤·šŸ»ā€ā™€ļø Does the p-series converge or diverge?! #apcalculus #apcalc #unit10 #shorts
  109. 109 3ļøāƒ£ criteria for applying the Limit Comparison Test šŸ„³šŸ„³ #apcalculus #apcalc #unit10 #shorts
  110. 110 Using āž•partial sumsāž• to find the nth term of the series šŸ¤©šŸ¤© #apcalculus #apcalc #unit10 #shorts
  111. 111 šŸ˜³šŸ˜³ How to use the INTEGRAL TEST for convergence šŸ„øšŸ„ø #apcalculus #apcalc #unit5 #shorts
  112. 112 Keeping error āœ‚ļøIN CHECKāœ‚ļø with the Maclaurin polynomial šŸ„øšŸ„ø #apcalculus #apcalc #unit5 #shorts
  113. 113 šŸ‘ŠAbsolute vs. šŸ¤·šŸ»ā€ā™€ļøconditional convergence šŸ¤”šŸ¤” #apcalculus #apcalc #unit5 #shorts
  114. 114 The sum šŸ‘ˆvs.šŸ‘‰ the partial sum sequence of a series šŸ˜²šŸ˜² #apcalculus #apcalc #unit10 #shorts
  115. 115 Simplifying the šŸ˜±BIG RATIO TEST FRACTIONšŸ˜± #apcalculus #apcalc #unit10 #shorts
  116. 116 The ā˜ļøMAXā˜ļø error of the estimation of an ALTERNATING SERIES šŸ„ø #apcalculus #apcalc #unit10 #shorts
  117. 117 šŸ”ØšŸ”ØBuildingšŸŖššŸŖš the Maclaurin polynomial step-by-step #apcalculus #apcalc #unit10 #shorts
  118. 118 šŸ•µļøā€ā™‚ļøHow do we findšŸ•µļøā€ā™‚ļø the CONSTANT RATIO?!! #apcalculus #apcalc #unit10 #shorts
  119. 119 šŸŖšBuildingšŸŖš the Taylor polynomial šŸ‘Ÿstep-by-stepšŸ‘Ÿ #apcalculus #apcalc #unit10 #shorts
  120. 120 Building the šŸ’ŖPOWER SERIES REPRESENTATIONšŸ’Ŗ of a function šŸ˜ŽšŸ˜Ž #apcalculus #apcalc #unit10 #shorts
  121. 121 šŸ•µļøFinding the common ratiošŸ•µļø in a šŸ§±geometric seriesšŸ§± #apcalculus #apcalc #unit10 #shorts
  122. 122 Using a šŸ¤comparable seriesšŸ¤ to determine convergence #apcalculus #apcalc #unit10 #shorts

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