Let z = f(x,y) be a function with continuous second partial derivatives throughout R2. Assume that fx(1,1) = fy(1,1)=0, fxx(1,1)= −fyy(1,1) = 1 and fxy(1,1)=0. 1. f has a critical point at (1,1). 2. f has a local minimum at (1,1). which is correct, incorrect or both

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let z = f(x,y) be a function with continuous second partial derivatives throughout R2. Assume that fx(1,1) = fy(1,1)=0, fxx(1,1)= −fyy(1,1) = 1 and fxy(1,1)=0.

1. f has a critical point at (1,1).
2. f has a local minimum at (1,1).

which is correct, incorrect or both
 
 
 
 
 
 
 
 
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