Chapter Four: Applications of Derivatives
What Chapter Four Covers:
1. Extreme Values of Functions: Global/Absolute vs. Local/Relative Extrema, Critical Points, Sign Charts, End Points
2. Mean Value Theorem: Increasing/Decreasing Behavior, Graphical Understanding, Rolle's Theorem
3. Connecting f(x) with f '(x) and f ''(x): Increasing/Decreasing, Concavity, Critical Points, Points of Inflection
4. Modeling and Optimization: Algebraic and Graphical Techniques
5. Related Rates: Algebraic and Graphical Techniques, Implicit Revisited
1. Extreme Values of Functions: Global/Absolute vs. Local/Relative Extrema, Critical Points, Sign Charts, End Points
2. Mean Value Theorem: Increasing/Decreasing Behavior, Graphical Understanding, Rolle's Theorem
3. Connecting f(x) with f '(x) and f ''(x): Increasing/Decreasing, Concavity, Critical Points, Points of Inflection
4. Modeling and Optimization: Algebraic and Graphical Techniques
5. Related Rates: Algebraic and Graphical Techniques, Implicit Revisited
calculus_cheat_sheet_derivatives_reduced1.pdf | |
File Size: | 135 kb |
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Tutorials
An extensive collection of calculus topics explored in numerous vides may be found at:
http://patrickjmt.com/#calculus
Numerous tutorials on derivative rules, graphical relationships between f(x) and its derivatives, and optimization may be found at:
http://archives.math.utk.edu/visual.calculus/3/index.html *Note: Flash/Java Required for portions of this site
Various problems with solutions (10 per topic) on various calculus topics may be found at:
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
A team of mathematicians that solve various problems (and show their work/rationale) in pre-calculus and calculus may be found at:
http://www.mathtv.com/videos_by_topic# Note: Use menu on left to find topic of interest!
Numerous videos on various topics of calculus may be found at:
http://www.brightstorm.com/math/calculus/ Note: you'll have to put up with short advertisments that run before each video!
http://patrickjmt.com/#calculus
Numerous tutorials on derivative rules, graphical relationships between f(x) and its derivatives, and optimization may be found at:
http://archives.math.utk.edu/visual.calculus/3/index.html *Note: Flash/Java Required for portions of this site
Various problems with solutions (10 per topic) on various calculus topics may be found at:
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
A team of mathematicians that solve various problems (and show their work/rationale) in pre-calculus and calculus may be found at:
http://www.mathtv.com/videos_by_topic# Note: Use menu on left to find topic of interest!
Numerous videos on various topics of calculus may be found at:
http://www.brightstorm.com/math/calculus/ Note: you'll have to put up with short advertisments that run before each video!