Applications of the Derivative:  Unit Review  Website Explorations    

Whole Unit Review

Summary of Everything in Applications of Derivatives (plus some extras!)
http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/Calcsumm5.html

Nine review questions with immediate answers
http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/Calcquestmaxmin.html

A 20 problem True/False quiz with instant feedback
http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/c2.html

Curve Sketching

http://mathweb.mathsci.usna.edu/faculty/meyersonmd/labs/deriv/deriv.html

  • Lab Report - 3 multiple choice questions about the ORIGINAL graph shown.
  • Math Review - explanations and examples of the mathematics involved.
  • Applications - examples to practice.

http://www.math.montana.edu/frankw/ccp/calculus/deriv/compare/learn1.mov

  • A short movie demonstrating the sketching of a curve's derivative.

http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/graphingdirectory/Graphing.html

  • Eleven practice problems to work by hand (scroll down the page).  Solutions are provided.

http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/derivs/practice.html

  • Three multiple choice problems on curve sketching.

http://www.geocities.com/CapeCanaveral/Launchpad/2426/page203.html

  • An example and short quiz for practice.
Related Rates

http://mathweb.mathsci.usna.edu/faculty/meyersonmd/labs/relatedrates/rates.html

  • Lab Report - 3 multiple choice questions about the ORIGINAL graph shown.
  • Math Review - explanations and examples of the mathematics involved.
  • Applications - examples to practice.

http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tutorials/frames4_4.html

  • Tutorial on Related Rates with interactive question boxes with immediate help.

http://www.mecca.org/~halfacre/MATH/lesson14.htm

  • Step-by-step instructions for calculating related rates with 2 practice problems, hints, and solutions.

 

Extrema Problems

http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tutorials4/framesc5_1.html

  • Max and Min problems with interactive question boxes with immediate help.

http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tutorials4/framesc5_2.html

  • Applications: Extrema Word Problems with interactive questions.