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z = xy³ – a²y, x = t² + 1, y = t2 – 1

z = xy³ – a²y, x = t² + 1, y = t2 – 1

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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Use the chain rule to determine:

 

Use la regla de la cadena para determinar dt z = ay³ – a'y, x = t² +1, y = t – 1 (* – 1)° – 2 ( + 1) (P – 1) + 3 (* + 1) (?² – 1)² – (* + 1)*) 2t %3D 2t (t – 1)* – 2 (t² +1) (t² – 1) – (² + 1)*) = 2t (* – 1)* – 2 (t² + 1) (² – 1) – 3 (* + 1) (t² – 1)* – (1² + 1)*) %3D * = 2t (t + 1)* – 2 (P +1) (² – 1) + 3 (2 + 1) (2² – 1)* – (t² – 1)*)
Transcribed Image Text:Use la regla de la cadena para determinar dt z = ay³ – a'y, x = t² +1, y = t – 1 (* – 1)° – 2 ( + 1) (P – 1) + 3 (* + 1) (?² – 1)² – (* + 1)*) 2t %3D 2t (t – 1)* – 2 (t² +1) (t² – 1) – (² + 1)*) = 2t (* – 1)* – 2 (t² + 1) (² – 1) – 3 (* + 1) (t² – 1)* – (1² + 1)*) %3D * = 2t (t + 1)* – 2 (P +1) (² – 1) + 3 (2 + 1) (2² – 1)* – (t² – 1)*)
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