Table of Contents
Calculus: Hughs-Hallett Chap 5
Review:
Definition of Maxima and Minima
Definition of a Critical Point
Theorem (Critical Point)
The First-Derivative Test for Local Max (M) and Min (m)
The Second-Derivative Test for Local Max (M) and Min (m)
Definition of Inflection Point
l’Hopital’s Rule (from Chapter 4)
Linear Tangent Line Approximation-
The Tangent Line Approximation of a Function
The Bounds of a Function
The Seven Step Paradigm:
The Book’s Practical Tips:
And now for some very significant theorems!
The Extreme Value Theorem
Constant Function Theorem
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Author: Joel Baumeyer, FSC
Email: baumeyer@cbu.edu
Home Page: cbu.edu/~baumeyer
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