AP Calculus BC Comprehensive Review - Short Lessons Collection

AP Calculus BC Comprehensive Review - Short Lessons Collection

Krista King via YouTube Direct link

๐Ÿ“Local๐Ÿ“ vs. ๐ŸŒŽglobal๐ŸŒŽ extrema on an interval #apcalculus #apcalc #unit5 #shorts

98 of 122
Previous
Next

98 of 122

๐Ÿ“Local๐Ÿ“ vs. ๐ŸŒŽglobal๐ŸŒŽ extrema on an interval #apcalculus #apcalc #unit5 #shorts

Class Central Classrooms beta

YouTube videos curated by Class Central.

Classroom Contents

AP Calculus BC Comprehensive Review - Short Lessons Collection

Automatically move to the next video in the Classroom when playback concludes
  1. 1 Proportional growth rate simplified! ๐Ÿ“ˆ๐Ÿค“ #apcalculus #apcalc #unit7 #shorts
  2. 2 Reversing ๐Ÿ”„ power rule to integrate polynomials ๐Ÿ˜Ž #apcalculus #apcalc #unit6 #shorts
  3. 3 Average rate of change to estimate ๐Ÿคญ the derivative โœ๏ธโœ๏ธ #apcalculus #apcalc #unit2 #shorts
  4. 4 The โž• sign โž– of the definite integral tells us about net area ๐Ÿ“ถ๐Ÿง #apcalculus #apcalc #unit6 #shorts
  5. 5 Turning the general solution into ๐Ÿ‘‰ a particular solution ๐Ÿ“ #apcalculus #apcalc #unit7 #shorts
  6. 6 Keep the constant coefficient when you differentiate! ๐Ÿฅธ #apcalculus #apcalc #unit2 #shorts
  7. 7 WHEN is an integral improper?!! ๐Ÿค”๐Ÿค” #apcalculus #apcalc #unit6 #shorts
  8. 8 Differential equations ๐Ÿคrelate๐Ÿค functions to their derivatives #apcalculus #apcalc #unit7 #shorts
  9. 9 Differentiable, continuous, or BOTH?!! ๐Ÿคท๐Ÿปโ€โ™€๏ธ๐Ÿคฏ #apcalculus #apcalc #unit2 #shorts
  10. 10 How to ๐Ÿƒ๐Ÿ’จ QUICKLY set up Riemann sum approximations ๐Ÿ“ถ #apcalculus #apcalc #unit6 #shorts
  11. 11 Sketch the slope field โ†—๏ธ of a differential equation FAST! ๐Ÿš€๐Ÿš€ #apcalculus #apcalc #unit7 #shorts
  12. 12 Sketching piecewise functions ๐Ÿ“‰ step-by-step!! ๐Ÿค“ #apcalculus #apcalc #unit2 #shorts
  13. 13 Euler's method โœ๏ธ for approximating DE solutions ๐Ÿ˜ตโ€๐Ÿ’ซ๐Ÿ˜ตโ€๐Ÿ’ซ #apcalculus #apcalc #unit7 #shorts
  14. 14 Converting from AVERAGE ๐Ÿ‘‰ INSTANTANEOUS rate of change ๐Ÿ˜ณ #apcalculus #apcalc #unit2 #shorts
  15. 15 How to get the infinite bounds ๐Ÿคœ OUT ๐Ÿคœ of improper integrals #apcalculus #apcalc #unit6 #shorts
  16. 16 How solution curves are โ›“๏ธBOUNDEDโ›“๏ธ in a direction field #apcalculus #apcalc #unit7 #shorts
  17. 17 The โœ…EASYโœ… way to find average rate of change #apcalculus #apcalc #unit2 #shorts
  18. 18 Integration with ๐Ÿ”„SUBSTITUTION๐Ÿ”„ #apcalculus #apcalc #unit6 #shorts
  19. 19 ๐Ÿ”ฎTransforming๐Ÿ”ฎ the difference quotient ๐Ÿ‘‰into๐Ÿ‘‰ the derivative #apcalculus #apcalc #unit2 #shorts
  20. 20 Finding ๐Ÿฆcarrying capacity๐Ÿฆ from a logistic equation โœ๏ธโœ๏ธ #apcalculus #apcalc #unit7 #shorts
  21. 21 Fundamental Theorem of Calculus: ๐Ÿคgโ€™=f๐Ÿค #apcalculus #apcalc #unit6 #shorts
  22. 22 Differentiable if โœ…1. continuous AND โœ…2. smooth ๐Ÿค“๐Ÿค“ #apcalculus #apcalc #unit2 #shorts
  23. 23 Equilibrium solutions of a differential equation โœŒ๏ธ ways! ๐Ÿ˜Ž #apcalculus #apcalc #unit7 #shorts
  24. 24 All the integration ๐Ÿ”จ๐Ÿ”จtools๐Ÿชš๐Ÿชš you can choose from! #apcalculus #apcalc #unit6 #shorts
  25. 25 The trig derivative โ™ป๏ธcycleโ™ป๏ธ sin๐Ÿ‘‰cos๐Ÿ‘‰-sin๐Ÿ‘‰-cos๐Ÿ‘‰sin #apcalculus #apcalc #unit2 #shorts
  26. 26 ๐Ÿ‘Respect๐Ÿ‘ the equilibrium solutions! #apcalculus #apcalc #unit7 #shorts
  27. 27 Trapezoidal Rule, but make it โœ…step-โœ…by-โœ…step ๐Ÿค™ #apcalculus #apcalc #unit6 #shorts
  28. 28 How to ๐Ÿคนโ€โ™‚๏ธjuggle๐ŸŽช multiple derivative rules at the same time! #apcalculus #apcalc #unit2 #shorts
  29. 29 3 โœ…EASYโœ… steps for solving ๐Ÿ‘ˆSEPARABLE๐Ÿ‘‰ differential equations #apcalculus #apcalc #unit7 #shorts
  30. 30 ๐ŸŸฆComplete the square๐ŸŸฆ or use โ†ช๏ธpartial fractionsโ†ฉ๏ธ??! #apcalculus #apcalc #unit6 #shorts
  31. 31 Using ๐Ÿ’ชPOWER๐Ÿ’ช rule to take derivatives #apcalculus #apcalc #unit2 #shorts
  32. 32 ๐Ÿ”‘Key๐Ÿ”‘ characteristics of the exponential growth ๐Ÿ“ˆ equation #apcalculus #apcalc #unit7 #shorts
  33. 33 QUICK ๐ŸคซTRICK๐Ÿคซ for simplifying integrals! #apcalculus #apcalc #unit6 #shorts
  34. 34 Quotient rule for derivatives made EASY ๐Ÿฅณ๐Ÿฅณ #apcalculus #apcalc #unit2 #shorts
  35. 35 The logistic model for constrained ๐Ÿฆ population growth๐Ÿฆ  #apcalculus #apcalc #unit7 #shorts
  36. 36 Converting Riemann sums ๐Ÿ‘‰to๐Ÿ‘‰ definite integrals ๐Ÿค“๐Ÿค“ #apcalculus #apcalc #unit6 #shorts
  37. 37 โ€ผ๏ธCRITICALโ€ผ๏ธ properties of the definite integral! ๐Ÿ˜ณ #apcalculus #apcalc #unit6 #shorts
  38. 38 Setting up for ๐Ÿงฉintegration by parts๐Ÿงฉ #apcalculus #apcalc #unit6 #shorts
  39. 39 ๐Ÿ•ต๏ธโ€โ™‚๏ธSolving problems๐Ÿ•ต๏ธโ€โ™‚๏ธ w/ the Fundamental Theorem of Calc #apcalculus #apcalc #unit6 #shorts
  40. 40 Average value ๐Ÿ“Š vs average rate of change ๐Ÿ“ˆ #apcalculus #apcalc #unit8 #shorts
  41. 41 ๐Ÿ’ฅSUPER FAST๐Ÿ’ฅ way to sketch โœ๏ธ direction fields! #apcalculus #apcalc #unit7 #shorts
  42. 42 ๐Ÿ”จBuilding๐Ÿ”จ the trig derivatives with quotient rule! ๐Ÿง #apcalculus #apcalc #unit6 #shorts
  43. 43 ๐Ÿ”ŽFinding๐Ÿ”Ž the derivative using a table of values ๐Ÿฅธ๐Ÿฅธ #apcalculus #apcalc #unit6 #shorts
  44. 44 Easily find the โœ–๏ธintersectionโœ–๏ธ of โœŒ๏ธ curves #apcalculus #apcalc #unit8 #shorts
  45. 45 ๐Ÿ”Locating๐Ÿ” a function's horizontal asymptote ๐Ÿ•ต๏ธโ€โ™‚๏ธ #apcalculus #apcalc #unit1 #shorts
  46. 46 NEVER choose the โŒwrongโŒ limit method again! ๐Ÿ‘Š #apcalculus #apcalc #unit1 #shorts
  47. 47 Using a ๐Ÿ—’๏ธTABLE๐Ÿ—’๏ธ to estimate average rate of change ๐Ÿค“ #apcalculus #apcalc #unit1 #shorts
  48. 48 ALL the limit properties you ๐ŸฅตNEED๐Ÿฅต to know! ๐Ÿ’ช #apcalculus #apcalc #unit1 #shorts
  49. 49 ๐Ÿ“Distance traveled๐Ÿ“ ๐ŸŸฐ ใ€ฐ๏ธArc lengthใ€ฐ๏ธ #apcalculus #apcalc #unit8 #shorts
  50. 50 โŒNEVERโŒ choose the wrong ใ€ฐ๏ธarc lengthใ€ฐ๏ธ formula ๐Ÿฅต #apcalculus #apcalc #unit8 #shorts
  51. 51 Area between curves with โœŒ๏ธMULTIPLEโœŒ๏ธ INTERSECTIONS?!! ๐Ÿคฏ๐Ÿคฏ #apcalculus #apcalc #unit8 #shorts
  52. 52 Distance โœ๏ธโœ๏ธvs.โœ๏ธโœ๏ธ displacement #apcalculus #apcalc #unit8 #shorts
  53. 53 ๐Ÿƒ๐Ÿปโ€โ™€๏ธQUICKLY๐Ÿƒ๐Ÿปโ€โ™€๏ธ finding average value over an interval โœ๏ธ #apcalculus #apcalc #unit8 #shorts
  54. 54 Implicit differentiation for โฌ…๏ธBOTH SIDESโžก๏ธ of the equation ๐Ÿค” #apcalculus #apcalc #unit3 #shorts
  55. 55 Someone ๐Ÿ˜ญ๐Ÿ˜ญPLEASE๐Ÿ˜ญ๐Ÿ˜ญ explain twice-differentiable functions?!! #apcalculus #apcalc #unit3 #shorts
  56. 56 Differentiating composites with ๐Ÿ”—CHAIN RULE๐Ÿ”—! #apcalculus #apcalc #unit3 #shorts
  57. 57 When โฌ‡๏ธunder or โฌ†๏ธoverestimates are โœ…GUARANTEEDโœ… #apcalculus #apcalc #unit6 #shorts
  58. 58 ๐Ÿ”—Chain rule๐Ÿ”— to differentiate functions in x and y โญโญ #apcalculus #apcalc #unit3 #shorts
  59. 59 Differentiating x ๐Ÿค”vs.๐Ÿค” differentiating y #apcalculus #apcalc #unit3 #shorts
  60. 60 ๐Ÿ˜ตโ€๐Ÿ’ซHow to know๐Ÿ˜ตโ€๐Ÿ’ซ which derivative rule to start with! ๐Ÿค“๐Ÿค“ #apcalculus #apcalc #unit3 #shorts
  61. 61 What to do ๐Ÿค” when substitution doesn't work! ๐Ÿ˜ญ๐Ÿ˜ญ #apcalculus #apcalc #unit1 #shorts
  62. 62 ๐Ÿ•ต๏ธโ€โ™‚๏ธ๐Ÿ•ต๏ธโ€โ™‚๏ธ DONโ€™T GET LOST ๐Ÿ”๐Ÿ” in the quotient rule formula! #apcalculus #apcalc #unit3 #shorts
  63. 63 โœŒ๏ธ good ways to ๐Ÿ”identify๐Ÿ” inverse functions ๐Ÿค“ #apcalculus #apcalc #unit3 #shorts
  64. 64 3๏ธโƒฃ requirements for the ๐Ÿ”ฅexistence๐Ÿ”ฅ of the general limit โœ๏ธ #apcalculus #apcalc #unit1 #shorts
  65. 65 โœ๏ธFactoringโœ๏ธ to evaluate a limit? ๐Ÿงฎ #apcalculus #apcalc #unit1 #shorts
  66. 66 Jump๐Ÿ‘Ÿ vs. Point๐Ÿ”ด vs. Infiniteโ™พ๏ธ discontinuities #apcalculus #apcalc #unit1 #shorts
  67. 67 Use substitution ๐ŸฅตWHENEVER YOU CAN!๐Ÿฅต #apcalculus #apcalc #unit1 #shorts
  68. 68 Need to find the limit? ๐Ÿงก๐Ÿงก Just ๐ŸŠSQUEEZE๐ŸŠ it!! #apcalculus #apcalc #unit1 #shorts
  69. 69 Average rate of change ๐Ÿค average vertical change ๐Ÿ˜Ž๐Ÿ˜Ž #apcalculus #apcalc #unit1 #shorts
  70. 70 ๐Ÿ’ชTry factoring๐Ÿ’ช if substitution ๐Ÿ™„doesn't work๐Ÿ™„ #apcalculus #apcalc #unit1 #shorts
  71. 71 How to solve ๐Ÿ‘EVERY๐Ÿ‘ RELATED RATES problem! ๐Ÿ’ช๐Ÿ’ช #apcalculus #apcalc #unit4 #shorts
  72. 72 L'Hospital's Rule ๐Ÿคบvs.๐Ÿคบ Quotient Rule... Don't mix them up! ๐Ÿ‘จโ€๐Ÿณ #apcalculus #apcalc #unit4 #shorts
  73. 73 Position, velocity, acceleration ๐Ÿƒ๐Ÿปโ€โ™€๏ธ๐Ÿ’จ #apcalculus #apcalc #unit4 #shorts
  74. 74 โ€ผ๏ธDO NOTโ€ผ๏ธ make this limit mistake on the AP test! ๐Ÿ˜ณ๐Ÿ˜ณ #apcalculus #apcalc #unit4 #shorts
  75. 75 ๐Ÿค”๐Ÿค”Will the tangent line ๐Ÿ‘over or ๐Ÿ‘Žunderestimate??! #apcalculus #apcalc #unit4 #shorts
  76. 76 ๐Ÿ”จBuilding๐Ÿ”จ the tangent line equation ๐Ÿค“ #apcalculus #apcalc #unit4 #shorts
  77. 77 ๐ŸฅณQuickly๐Ÿฅณ find average velocity over an interval ๐Ÿ’ช #apcalculus #apcalc #unit4 #shorts
  78. 78 ๐Ÿ–คConnecting๐Ÿ–ค position, velocity, and acceleration #apcalculus #apcalc #unit4 #shorts
  79. 79 To infinity and beyond! ๐Ÿš€๐Ÿš€ LIMITS at โฌ†๏ธverticalโฌ‡๏ธ asymptotes #apcalculus #apcalc #unit1 #shorts
  80. 80 Limits around โฌ†๏ธโฌ†๏ธVERTICAL and โžก๏ธโžก๏ธHORIZONTAL asymptotes #apcalculus #apcalc #unit1 #shorts
  81. 81 ๐Ÿคท๐Ÿปโ€โ™€๏ธWhich method๐Ÿคท๐Ÿปโ€โ™€๏ธ would YOU choose?! ๐Ÿค”๐Ÿค” #apcalculus #apcalc #unit8 #shorts
  82. 82 Three ๐ŸคฉEASY๐Ÿคฉ steps for differentiating parametric curves ๐Ÿค #apcalculus #apcalc #unit9 #shorts
  83. 83 Differentiate โ†—๏ธvector-valuedโ†—๏ธ functions, BUT MAKE IT EASY ๐Ÿ˜…๐Ÿ˜… #apcalculus #apcalc #unit9 #shorts
  84. 84 3 EASY ๐Ÿ‘ŸSTEPS๐Ÿ‘Ÿ to differentiate a polar curve ๐Ÿค— #apcalculus #apcalc #unit9 #shorts
  85. 85 ๐ŸงณTransferring๐Ÿงณ graphs from Cartesian โžก๏ธtoโžก๏ธ polar coordinates #apcalculus #apcalc #unit9 #shorts
  86. 86 โœŒ๏ธ steps to follow EVERY TIME you โœ๏ธsketchโœ๏ธ a polar curve #apcalculus #apcalc #unit9 #shorts
  87. 87 Using tables to ๐Ÿฅธestimate๐Ÿฅธ a limit #apcalculus #apcalc #unit1 #shorts
  88. 88 โ™พ๏ธInfinite limits or limits at โ™พ๏ธinfinity??!! ๐Ÿ’โ€โ™€๏ธ #apcalculus #apcalc #unit1 #shorts
  89. 89 What does a limit ๐Ÿ™‹๐Ÿปโ€โ™€๏ธ ACTUALLY MEAN?!! ๐Ÿคฏ๐Ÿคฏ #apcalculus #apcalc #unit1 #shorts
  90. 90 What the Intermediate Value Theorem ๐ŸฅธACTUALLY๐Ÿฅธ says! #apcalculus #apcalc #unit1 #shorts
  91. 91 How to find ๐ŸŒˆarc length๐ŸŒˆ of ANY parametric curve! #apcalculus #apcalc #unit9 #shorts
  92. 92 ๐Ÿ๏ธPosition/Velocity/Acceleration๐Ÿ๏ธ for vector-valued functions #apcalculus #apcalc #unit9 #shorts
  93. 93 Limits algebraically๐Ÿ”ก, from a table๐Ÿ—’๏ธ, from the graph๐Ÿ“‰ #apcalculus #apcalc #unit1 #shorts
  94. 94 These 3๏ธโƒฃ criteria โœ…guaranteeโœ… continuity ๐Ÿ’ช๐Ÿ’ช #apcalculus #apcalc #unit1 #shorts
  95. 95 ๐Ÿ•ต๏ธโ€โ™€๏ธInvestigating ๐Ÿ‘†increasing/decreasing๐Ÿ‘‡ behavior #apcalculus #apcalc #unit5 #shorts
  96. 96 Step-by-step ๐Ÿ‘Ÿ๐Ÿ‘Ÿ for the Second Derivative Test ๐Ÿค“ #apcalculus #apcalc #unit5 #shorts
  97. 97 Candidates Test for ๐ŸงจEXTREMA๐Ÿงจ! ๐Ÿ˜Ž๐Ÿ˜Ž #apcalculus #apcalc #unit5 #shorts
  98. 98 ๐Ÿ“Local๐Ÿ“ vs. ๐ŸŒŽglobal๐ŸŒŽ extrema on an interval #apcalculus #apcalc #unit5 #shorts
  99. 99 You ๐ŸšจMUST๐Ÿšจ memorize this table for the AP Calc test! ๐Ÿซก #apcalculus #apcalc #unit5 #shorts
  100. 100 ๐Ÿ“ˆGraphing๐Ÿ“‰ functions and their derivatives ๐Ÿคฏ๐Ÿคฏ #apcalculus #apcalc #unit5 #shorts
  101. 101 ๐ŸšจCritical points๐Ÿšจ, but with implicit differentiation ๐Ÿคฏ #apcalculus #apcalc #unit5 #shorts
  102. 102 Creating the ๐ŸคฉFAMOUS๐Ÿคฉ open-top box ๐Ÿ“ฆ๐Ÿ“ฆ #apcalculus #apcalc #unit5 #shorts
  103. 103 Mean Value Theorem, but ๐Ÿ™PLEASE๐Ÿ™ make it less confusing ๐Ÿ˜ญ๐Ÿ˜ญ #apcalculus #apcalc #unit5 #shorts
  104. 104 ๐Ÿšจ๐ŸงจCRITICAL FOR AP CALC๐Ÿงจ๐Ÿšจ: Connecting graphs of f, f', and f'' #apcalculus #apcalc #unit5 #shorts
  105. 105 Polynomial functions are SOOO predictable ๐Ÿ™„๐Ÿ™„๐Ÿฅฑ #apcalculus #apcalc #unit5 #shorts
  106. 106 The nth term test ๐ŸšจONLY๐Ÿšจ determines divergence! ๐Ÿค“ #apcalculus #apcalc #unit10 #shorts
  107. 107 Using the โœ๏ธintegral testโœ๏ธ for convergence ๐Ÿ”ฅ๐Ÿ”ฅ #apcalculus #apcalc #unit10 #shorts
  108. 108 ๐Ÿคท๐Ÿปโ€โ™€๏ธ๐Ÿคท๐Ÿปโ€โ™€๏ธ Does the p-series converge or diverge?! #apcalculus #apcalc #unit10 #shorts
  109. 109 3๏ธโƒฃ criteria for applying the Limit Comparison Test ๐Ÿฅณ๐Ÿฅณ #apcalculus #apcalc #unit10 #shorts
  110. 110 Using โž•partial sumsโž• to find the nth term of the series ๐Ÿคฉ๐Ÿคฉ #apcalculus #apcalc #unit10 #shorts
  111. 111 ๐Ÿ˜ณ๐Ÿ˜ณ How to use the INTEGRAL TEST for convergence ๐Ÿฅธ๐Ÿฅธ #apcalculus #apcalc #unit5 #shorts
  112. 112 Keeping error โœ‚๏ธIN CHECKโœ‚๏ธ with the Maclaurin polynomial ๐Ÿฅธ๐Ÿฅธ #apcalculus #apcalc #unit5 #shorts
  113. 113 ๐Ÿ‘ŠAbsolute vs. ๐Ÿคท๐Ÿปโ€โ™€๏ธconditional convergence ๐Ÿค”๐Ÿค” #apcalculus #apcalc #unit5 #shorts
  114. 114 The sum ๐Ÿ‘ˆvs.๐Ÿ‘‰ the partial sum sequence of a series ๐Ÿ˜ฒ๐Ÿ˜ฒ #apcalculus #apcalc #unit10 #shorts
  115. 115 Simplifying the ๐Ÿ˜ฑBIG RATIO TEST FRACTION๐Ÿ˜ฑ #apcalculus #apcalc #unit10 #shorts
  116. 116 The โ˜๏ธMAXโ˜๏ธ error of the estimation of an ALTERNATING SERIES ๐Ÿฅธ #apcalculus #apcalc #unit10 #shorts
  117. 117 ๐Ÿ”จ๐Ÿ”จBuilding๐Ÿชš๐Ÿชš the Maclaurin polynomial step-by-step #apcalculus #apcalc #unit10 #shorts
  118. 118 ๐Ÿ•ต๏ธโ€โ™‚๏ธHow do we find๐Ÿ•ต๏ธโ€โ™‚๏ธ the CONSTANT RATIO?!! #apcalculus #apcalc #unit10 #shorts
  119. 119 ๐ŸชšBuilding๐Ÿชš the Taylor polynomial ๐Ÿ‘Ÿstep-by-step๐Ÿ‘Ÿ #apcalculus #apcalc #unit10 #shorts
  120. 120 Building the ๐Ÿ’ชPOWER SERIES REPRESENTATION๐Ÿ’ช of a function ๐Ÿ˜Ž๐Ÿ˜Ž #apcalculus #apcalc #unit10 #shorts
  121. 121 ๐Ÿ•ต๏ธFinding the common ratio๐Ÿ•ต๏ธ in a ๐Ÿงฑgeometric series๐Ÿงฑ #apcalculus #apcalc #unit10 #shorts
  122. 122 Using a ๐Ÿคcomparable series๐Ÿค to determine convergence #apcalculus #apcalc #unit10 #shorts

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free
Someone learning on their laptop while sitting on the floor.