# Der. App

1) Function Description - increasing/decreasing/extrema

• Explanation:

• Practice Problems:

2) Function description - concavity & points of inflection

3) Function Description (domain is not all real numbers)

• Explanation:

• Notes | Annotated

• Practice Problems:

4) Function description given the derivative

5) Local extrema on open or closed intervals

6) Absolute Extrema and Extreme Value Theorem

7) Absolute Extrema on an open interval or the entire domain of a function

8) Application of Implicit Differentiation

• Explanation

• Practice Problems:

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

11) Curve Sketching by Hand

12) Mean Value Theorem (MVT)

13) Derivative Application Review

Critical thinking quiz: http://archives.math.utk.edu/visual.calculus/3/graphing.2/index.html

AP Free Response Questions

• 2011 (Form B) Q4 - max/min, concavity - parts a and b

• 2010 (Form B) Q2 - tangent line and concavity - part a, b, and d

• 2008 Q6 - tangent line, max/min, limit

• 2007 (Form B) Q6 - existence theorems, chain rule

• 2007 Q6 - derivatives, max/min, inflection point

• 2007 Q3 - existence theorems, chain rule, derivative of inverse functions

• 2004 Q4 - Implicit differentiation & max/min

• 2001 Q4 - max/min, concavity, tangent line

• 1999 Q4 - tangent point, inflection point, max/min

• 1998 Q2 - limit as x approaches infinity, max/min

Derivative Application Cumulative