Consider the functions z= - ex In y, x = In (u cos v), and y = u sin v. dz əz (a) Express and as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and before differentiating. Əv du dz (b) Evaluate and dz Əv at (u, v) = C (a) Find each partial derivative needed to use the Chain Rule to find əz au dz dx 1 In y — = - dx du u Əz dy = sin v dy du V Express z directly in terms of u and v. Z= =
Consider the functions z= - ex In y, x = In (u cos v), and y = u sin v. dz əz (a) Express and as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and before differentiating. Əv du dz (b) Evaluate and dz Əv at (u, v) = C (a) Find each partial derivative needed to use the Chain Rule to find əz au dz dx 1 In y — = - dx du u Əz dy = sin v dy du V Express z directly in terms of u and v. Z= =
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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