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 Eight
FUNCTIONS OF SEVERAL VARIABLES
Contents
8.1 Understanding Functions of Two Variables
Strategy to Investigate Functions of Two Variables: Vary One Variable at a Time
Concentration of a Drug in the Blood
Cobb-Douglas Production Functions
Finding Contours Algebraically
Rate of Change of Airline Revenue
Estimating Partial Derivatives from a Table
Using Partial Derivatives to Estimate Values of the Function
Estimating Partial Derivatives from Contours
Using Units to Interpret Partial Derivatives
8.4 Computing Partial Derivatives Algebraically
Second-Order Partial Derivatives
The Mixed Partial Derivatives Are Equal
8.5 Critical Points and Optimization
Finding Local Maxima/Minima Analytically
How Do We Find Critical Points?
Is a Critical Point a Local Maximum or a Local Minimum?
Graphical Approach: Maximizing Production Subject to a Budget Constraint
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