Applying derivatives to analyze functions | AP Calculus AB | Khan Academy
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What you'll learn
This course includes
- 5.3 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 44 lessons • 5.3 hours of video
Applying derivatives to analyze functions | AP Calculus AB | Khan Academy
44 lessons
• 5 hours
Applying derivatives to analyze functions | AP Calculus AB | Khan Academy
44 lessons
• 5 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
- Analyzing concavity (algebraic) | AP Calculus AB | Khan Academy09:15
- Connecting f, f', and f'' graphically (another example) | AP Calculus AB | Khan Academy04:21
- 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
- Justification using second derivative: maximum point | AP Calculus AB | Khan Academy04:14
- Justification using second derivative: inflection point | AP Calculus AB | Khan Academy03:47
- Inflection points (algebraic) | AP Calculus AB | Khan Academy05:34
- 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
- Connecting f, f', and f'' graphically | AP Calculus AB | Khan Academy05:36
- 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 Academy07:53
- Finding relative extrema (first derivative test) | AP Calculus AB | Khan Academy05:25
- Analyzing a function with its derivative | AP Calculus AB | Khan Academy09:42
- Calculus based justification for function increasing | AP Calculus AB | Khan Academy03:12
- Finding increasing interval given the derivative | AP Calculus AB | Khan Academy05:59
- Justification using first derivative | AP Calculus AB | Khan Academy05:53
- 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
- Optimization: sum of squares | Applications of derivatives | AP Calculus AB | Khan Academy07:35
- Mean value theorem | Existence theorems | AP Calculus AB | Khan Academy06:37
- Expression for combined area of triangle and square | Differential Calculus | Khan Academy06:19
- Mean value theorem application | Existence theorems | AP Calculus AB | Khan Academy07:12
- Optimization: box volume (Part 1) | Applications of derivatives | AP Calculus AB | Khan Academy09:50
- Mean value theorem example: polynomial | Existence theorems | AP Calculus AB | Khan Academy04:50
- Extreme value theorem | Existence theorems | AP Calculus AB | Khan Academy07:58
- Optimization: box volume (Part 2) | Applications of derivatives | AP Calculus AB | Khan Academy09:00
- Optimization: profit | Applications of derivatives | AP Calculus AB | Khan Academy11:27
- Minimizing combined area | Derivative applications | Differential Calculus | Khan Academy05:31
- Optimization: cost of materials | Applications of derivatives | AP Calculus AB | Khan Academy12:40
- Mean value theorem example: square root function | AP Calculus AB | Khan Academy06:23
- Motion problems: finding the maximum acceleration | AP Calculus AB | Khan Academy04:24
- Justification with the mean value theorem: table | AP Calculus AB | Khan Academy03:41
- Justification with the mean value theorem: equation | AP Calculus AB | Khan Academy02:54
- Horizontal tangent to implicit curve | AP Calculus AB | Khan Academy02:55
