Calculus‎ > ‎

Der. App



1) Function Description - increasing/decreasing/extrema
2) Function description - concavity & points of inflection 
3) Function Description (domain is not all real numbers)
4)  Function description given the derivative
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 

Vocabulary Review

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 


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 Q6derivatives, max/min, inflection point
  • 2007 Q3existence theorems, chain rule, derivative of inverse functions
  • 2004 Q4Implicit differentiation & max/min
  • 2001 Q4max/min, concavity, tangent line
  • 1999 Q4 - tangent point, inflection point, max/min
  • 1998 Q2 - limit as x approaches infinity, max/min