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### Der. App

 1) Function Description - increasing/decreasing/extrema Explanation:Practice Problems:Worksheet | Answers 2) Function description - concavity & points of inflection  Explanation:Notes | AnnotatedVideo: Hollis: Concavity: slides 1 and 3-4Khan: Inflection Points and Concavity IntuitionVideo:  Hollis: Second derivative test - slide 5-9 3) Function Description (domain is not all real numbers) Explanation:Notes | AnnotatedPractice Problems:4)  Function description given the derivative 5) Local extrema on open or closed intervals Explanation:NotesPractice Problems:Worksheet6) Absolute Extrema and Extreme Value Theorem  Explanation:NotesVideos: Practice Problems:Worksheet 7) Absolute Extrema on an open interval or the entire domain of a functionNotes 8) Application of Implicit Differentiation  ExplanationNotesPractice Problems: Vocabulary Review Choose a Study ModeScatterLearnFlashcards 9) Graph f(x) and f ’(x) with the graphing calculator 10) Interpreting the first and second derivative on a number line and coordinate plane graph Explanation:Notes:Interpreting f ’ and  f ’’ using a graph Notes: NotesInterpreting the Graph of the Derivative of a Function and Explain your reasoning: Notes | AnnotatedVideo: Hollis: The derivative (slides #5-7, and 10) - 20 min. video (cumulative - definition, shortcuts with rules, and applications)Websites:  Mapping the slope of a function to the y-values ("height") of the derivative curve:Any function:Derivatives and Tangent Lines: (Java)Specific functionsSliders adjust the function and its derivative on DesmosCubic function | (Java)Fourth Power (Java)Sine curve (Quicktime) Practice Problems:Interpreting f ’ Number Line or Graph WS | AnswersInterpret the graph of the derivative & Explain your Reasoning WSThe numerical value of the slope of the tangent lines become the y-values of the derivative: Khan Module: video explanation | Derivative IntuitionMatching graphs of f, f ' and f '' (website - Java):Desmos Activity: Functions and Their DerivativesDesmos Activity: Card Sort: Derivative MatchApplets: Derivative puzzles 1 - 3 are matching games with function, derivative and second derivative graph; arrange the graphs in columns with the function at the top, its derivative below it and the second derivative on the bottom.Applet: First and second derivative has a slider for a coefficient of third order polynomial.  As the coefficients changes, you can observe the changes in the graph of the function and the graph of the derivativeActivity: relationship between f(x) and f'(x)Activity: relationship between f(x), f '(x), and f ''(x)2010 Q5 - parts b and c2009 (Form B) Q52009 Q6 - parts a and c2007 (Form B) Q4 - parts a, b, and c2004 (Form B) Q4 - parts a and c2003 Q4 - parts a, b and c2000 Q3 11)  Curve Sketching by Hand Explanation:Notes | AnnotatedVideos: Practice Problems:Curve Sketching WS2005 Q4 - parts b, c, and d 12)  Mean Value Theorem (MVT) Explanation:Notes | AnnotatedKhan video: Mean Value TheoremInteractive - mean value theoremCollege Board: Weakening the Hypotheses of the Mean Value TheoremPractice Problems:2009 (Form B) Q3 2008 (Form B) Q5 - parts a, c, and d 13)  Derivative Application Review  Critical thinking quiz: http://archives.math.utk.edu/visual.calculus/3/graphing.2/index.htmlAP Free Response Questions2011 (Form B) Q4 - max/min, concavity - parts a and b2010 (Form B) Q2 - tangent line and concavity - part a, b, and d 2008 Q6 - tangent line, max/min, limit2007 (Form B) Q6 - existence theorems, chain rulederivatives, max/min, inflection pointexistence theorems, chain rule, derivative of inverse functionsImplicit differentiation & max/minmax/min, concavity, tangent line1999 Q4 - tangent point, inflection point, max/min1998 Q2 - limit as x approaches infinity, max/min