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1. ASSUME THAT Z IS IMPLICITLY DEFINDED AS A FUNCTION OF X AND Y. FIND THE FIRST PARTIAL DERIVATIVES OF THE FUNCTIONS A), B) AND C) A) x² + y² + z² = 3xyz B) x − z = arctan(yz) C) sin(xyz) = x + 2y + 3z

1. ASSUME THAT Z IS IMPLICITLY DEFINDED AS A FUNCTION OF X AND Y. FIND THE FIRST PARTIAL DERIVATIVES OF THE FUNCTIONS A), B) AND C) A) x² + y² + z² = 3xyz B) x − z = arctan(yz) C) sin(xyz) = x + 2y + 3z

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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1. ASSUME THAT Z IS IMPLICITLY DEFINDED AS A FUNCTION OF X AND Y. FIND THE FIRST PARTIAL DERIVATIVES OF THE FUNCTIONS A), B) AND C) A) x² + y² + z² = 3xyz B) x − z = arctan(yz) c) sin(xyz) = x + 2y + 3z
Transcribed Image Text:1. ASSUME THAT Z IS IMPLICITLY DEFINDED AS A FUNCTION OF X AND Y. FIND THE FIRST PARTIAL DERIVATIVES OF THE FUNCTIONS A), B) AND C) A) x² + y² + z² = 3xyz B) x − z = arctan(yz) c) sin(xyz) = x + 2y + 3z
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