November 2013
Intermediate to advanced
576 pages
22h 37m
English
book
Applied Calculus 5th Edition
by Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, David Lovelock, Douglas Quinney, Eric Connally, Guadalupe I. Lonzano, Karen R. Rhea, Selin Kalaycýoðlu, William G. McCallum, Adam H. Speigler, Brigitte Lahme, Brad G. Osgood
Content preview from Applied Calculus 5th Edition
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Chapter Two
RATE OF CHANGE: THE DERIVATIVE
Contents
2.1 Instantaneous Rate of Change
Defining Instantaneous Velocity Using the Idea of a Limit
Visualizing the Derivative: Slope of the Graph and Slope of the Tangent Line
Estimating the Derivative of a Function Given Numerically
Finding the Derivative of a Function Given Graphically
What Does the Derivative Tell Us Graphically?
Estimating the Derivative of a Function Given Numerically
Finding the Derivative of a Function Given by a Formula
2.3 Interpretations of the Derivative
An Alternative Notation for the Derivative
Using Units to Interpret the Derivative
Using the Derivative to Estimate Values of a Function
What Does the Second Derivative Tell Us?
Interpretation of the Second Derivative as a Rate of Change
Graphs of Cost and Revenue Functions
Limits, Continuity, and the Definition of the Derivative
2.1 ...
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