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Mastering Derivatives: AP Calculus Problem Solving Skills

Master Calculus with Confidence: Explore Derivatives, Inflection Points, and Extrama with Khan Academy Experts. Unlock the secrets of AP Calculus AB through engaging video tutorials. Dive in today and elevate your calculus skills!

5.0 (9)
170 learners

What you'll learn

Identify and apply the second derivative test to determine the concavity and inflection points of functions
Analyze and avoid common mistakes when finding extrema and inflection points using derivatives
Graphically interpret the relationship between a function, its first derivative, and its second derivative
Utilize L'Hôpital's rule for evaluating limits involving indeterminate forms in calculus

This course includes

  • 4 hours of video
  • Certificate of completion
  • Access on mobile and TV

Course content

1 modules • 39 lessons • 4 hours of video

Mastering Derivatives: AP Calculus Problem Solving Skills
39 lessons • 4 hours
  • Second derivative test | Using derivatives to analyze functions | AP Calculus AB | Khan Academy06:12
  • Analyzing mistakes when finding extrema (example 1) | AP Calculus AB | Khan Academy04:33
  • Mistakes when finding inflection points: not checking candidates | AP Calculus AB | Khan Academy04:02
  • The graphical relationship between a function & its derivative (part 2) | Khan Academy06:44
  • Analyzing concavity (algebraic) | AP Calculus AB | Khan Academy09:15
  • L'Hôpital's rule example 1 | Derivative applications | Differential Calculus | Khan Academy07:42
  • Worked example: Inflection points from second derivative | AP Calculus AB | Khan Academy04:11
  • L'Hôpital's rule example 2 | Derivative applications | Differential Calculus | Khan Academy05:15
  • Connecting f, f', and f'' graphically (another example) | AP Calculus AB | Khan Academy04:21
  • Introduction to minimum and maximum points | Functions | Algebra I | Khan Academy05:29
  • Finding absolute extrema on a closed interval | AP Calculus AB | Khan Academy06:55
  • Finding decreasing interval given the function | AP Calculus AB | Khan Academy04:32
  • Concavity introduction | Using derivatives to analyze functions | AP Calculus AB | Khan Academy09:54
  • Finding critical points | Using derivatives to analyze functions | AP Calculus AB | Khan Academy05:51
  • Identifying a function's derivative example | Differential Calculus | Khan Academy02:37
  • Introduction to l'Hôpital's rule | Derivative applications | Differential Calculus | Khan Academy08:51
  • Justification using second derivative: maximum point | AP Calculus AB | Khan Academy04:13
  • Justification using second derivative: inflection point | AP Calculus AB | Khan Academy03:46
  • Inflection points (algebraic) | AP Calculus AB | Khan Academy05:34
  • Proof of special case of l'Hôpital's rule | Differential Calculus | Khan Academy05:21
  • Mistakes when finding inflection points: second derivative undefined | AP Calculus AB | Khan Academy06:11
  • Inflection points introduction | AP Calculus AB | Khan Academy02:34
  • Absolute minima & maxima (entire domain) | AP Calculus AB | Khan Academy09:23
  • Inflection points from graphs of function & derivatives | AP Calculus AB | Khan Academy05:06
  • Worked example: Inflection points from first derivative | AP Calculus AB | Khan Academy03:47
  • The graphical relationship between a function & its derivative (part 1) | Khan Academy05:04
  • Connecting f, f', and f'' graphically | AP Calculus AB | Khan Academy05:35
  • Graphing using derivatives | Derivative applications | Differential Calculus | Khan Academy20:31
  • Inflection points (graphical) | AP Calculus AB | Khan Academy03:20
  • Critical points introduction | AP Calculus AB | Khan Academy07:52
  • Finding relative extrema (first derivative test) | AP Calculus AB | Khan Academy05:25
  • Analyzing mistakes when finding extrema (example 2) | AP Calculus AB | Khan Academy04:40
  • Analyzing a function with its derivative | AP Calculus AB | Khan Academy09:41
  • Calculus based justification for function increasing | AP Calculus AB | Khan Academy03:11
  • Finding increasing interval given the derivative | AP Calculus AB | Khan Academy05:59
  • Justification using first derivative | AP Calculus AB | Khan Academy05:52
  • Recognizing concavity exercise | Derivative applications | Differential Calculus | Khan Academy02:23
  • Worked example: finding relative extrema | AP Calculus AB | Khan Academy07:48
  • Another example graphing with derivatives | Differential Calculus | Khan Academy25:08

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