Calculus I pp 139-199 | Cite as

Graphing and Maximum-Minimum Problems

  • Jerrold Marsden
  • Alan Weinstein
Part of the Undergraduate Texts in Mathematics book series (UTM)


Now that we know how to differentiate, we can use this information to assist us in plotting graphs. The signs of the derivative and the second derivative of a function will tell us which way the graph of the function is “leaning” and “bending.”


Local Maximum Inflection Point Minimum Point Word Problem Open Interval 
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Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • Jerrold Marsden
    • 1
  • Alan Weinstein
    • 2
  1. 1.California Institute of TechnologyControl and Dynamical Systems 107-81PasadenaUSA
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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