Applying derivatives to analyze functions | AP Calculus AB | Khan Academy
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This course includes
- 5.3 hours of video
- Certificate of completion
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Course content
1 modules • 37 lessons • 5.3 hours of video
Applying derivatives to analyze functions | AP Calculus AB | Khan Academy
37 lessons
• 4 hours
Applying derivatives to analyze functions | AP Calculus AB | Khan Academy
37 lessons
• 4 hours
- Second derivative test | Using derivatives to analyze functions | AP Calculus AB | Khan Academy 06:12
- Analyzing mistakes when finding extrema (example 1) | AP Calculus AB | Khan Academy 04:33
- Mistakes when finding inflection points: not checking candidates | AP Calculus AB | Khan Academy 04:02
- Analyzing concavity (algebraic) | AP Calculus AB | Khan Academy 09:15
- Connecting f, f', and f'' graphically (another example) | AP Calculus AB | Khan Academy 04:21
- Finding absolute extrema on a closed interval | AP Calculus AB | Khan Academy 06:55
- Finding decreasing interval given the function | AP Calculus AB | Khan Academy 04:32
- Concavity introduction | Using derivatives to analyze functions | AP Calculus AB | Khan Academy 09:54
- Finding critical points | Using derivatives to analyze functions | AP Calculus AB | Khan Academy 05:51
- Justification using second derivative: maximum point | AP Calculus AB | Khan Academy 04:14
- Justification using second derivative: inflection point | AP Calculus AB | Khan Academy 03:47
- Inflection points (algebraic) | AP Calculus AB | Khan Academy 05:34
- Mistakes when finding inflection points: second derivative undefined | AP Calculus AB | Khan Academy 06:11
- Inflection points introduction | AP Calculus AB | Khan Academy 02:34
- Absolute minima & maxima (entire domain) | AP Calculus AB | Khan Academy 09:23
- Inflection points from graphs of function & derivatives | AP Calculus AB | Khan Academy 05:06
- Connecting f, f', and f'' graphically | AP Calculus AB | Khan Academy 05:36
- Graphing using derivatives | Derivative applications | Differential Calculus | Khan Academy 20:31
- Inflection points (graphical) | AP Calculus AB | Khan Academy 03:20
- Critical points introduction | AP Calculus AB | Khan Academy 07:53
- Finding relative extrema (first derivative test) | AP Calculus AB | Khan Academy 05:25
- Analyzing a function with its derivative | AP Calculus AB | Khan Academy 09:42
- Calculus based justification for function increasing | AP Calculus AB | Khan Academy 03:12
- Finding increasing interval given the derivative | AP Calculus AB | Khan Academy 05:59
- Justification using first derivative | AP Calculus AB | Khan Academy 05:53
- Recognizing concavity exercise | Derivative applications | Differential Calculus | Khan Academy 02:23
- Worked example: finding relative extrema | AP Calculus AB | Khan Academy 07:48
- Another example graphing with derivatives | Differential Calculus | Khan Academy 25:08
- Mean value theorem | Existence theorems | AP Calculus AB | Khan Academy 06:37
- Mean value theorem application | Existence theorems | AP Calculus AB | Khan Academy 07:12
- Mean value theorem example: polynomial | Existence theorems | AP Calculus AB | Khan Academy 04:50
- Extreme value theorem | Existence theorems | AP Calculus AB | Khan Academy 07:58
- Mean value theorem example: square root function | AP Calculus AB | Khan Academy 06:23
- Motion problems: finding the maximum acceleration | AP Calculus AB | Khan Academy 04:24
- Justification with the mean value theorem: table | AP Calculus AB | Khan Academy 03:41
- Justification with the mean value theorem: equation | AP Calculus AB | Khan Academy 02:54
- Horizontal tangent to implicit curve | AP Calculus AB | Khan Academy 02:55
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