Lecture6bc - Welcome to Math 122 Lecture 6 Survey of...

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Instructor: Quanlei Fang Dept. of Math, University at Buffalo, Spring 2009 Welcome to Math 122 Lecture 6 Survey of Calculus and its Applications I1 ± Partial derivatives Last time Last time Definition Example Partial Derivative of f ( x , y ) with respect to x : written , the derivative of f ( x , y ), where y is treated as a constant and f ( x , y ) is considered as a function of x alone If , then x f ( ) 4 3 2 , y x y x f = . 8 and 6 3 3 4 2 y x y f y x x f = =
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Maxima and Minima of Functions Maxima and Minima of Functions of Several Variables of Several Variables § 7.3 ± Relative Maxima and Minima ± First Derivative Test for Functions of Two Variables ± Second Derivative Test for Functions of Two Variables ± Finding Relative Maxima and Minima Relative Maxima & Minima Relative Maxima & Minima Definition Example Relative Maximum of f ( x , y ): f ( x , y ) has a relative maximum when x = a , y = b if f ( x , y ) is at most equal to f ( a , b ) whenever x is near a and y is is near b .
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This note was uploaded on 02/20/2009 for the course MTH 122 taught by Professor Buettgens during the Spring '08 term at SUNY Buffalo.

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Lecture6bc - Welcome to Math 122 Lecture 6 Survey of...

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