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D2L 3.5 The Chain Rule for Function d2l.yorktech.edu/d21/le/content/1014840/viewC... Q Pop ← C M Gmail CENGAGE module:... ►YouTube A Maps D2L York Technical Colle... All Bookmarks 0 Ca PU CURRENT OBJECTIVE Use the chain rule for one independent variable Question If w= xy2, x = 5 cos(2t), and y = Answer 1: 2024 Cod Pro 5 sin(2t), find dw dt X That's not right - let's review the answer. -10y2sin(21) + 20xy cos(21) Reflect in ePortfolio Activity Details • Task: View this topic 69°F Sunny Q Search 目 Loc Pro Ω d2l.yorktech.edu/d21/le/content/1014840/viewC... Q⭑ 1 Gmail CENGAGE module:... ‣ YouTube Maps D2L York Technical Colle... □ Al dx dt dy = -10 sin(2t) = 10 cos(2t) dt dw Use these derivatives and partial derivatives to find dt dw dt y2(-10 sin(2t)) + 2xy(10 cos(2t)) = -10y² sin(2t) + 20xy cos(2t) Substitute the appropriate expressions in for x and y to get dw dt 125 sin(2t) (3 cos(4t) + 1). Content attribution Reflect in ePortfolio Activity Details • Task: View this topic 69°F Sunny Q Search CONTINUE < >

D2L 3.5 The Chain Rule for Function d2l.yorktech.edu/d21/le/content/1014840/viewC... Q Pop ← C M Gmail CENGAGE module:... ►YouTube A Maps D2L York Technical Colle... All Bookmarks 0 Ca PU CURRENT OBJECTIVE Use the chain rule for one independent variable Question If w= xy2, x = 5 cos(2t), and y = Answer 1: 2024 Cod Pro 5 sin(2t), find dw dt X That's not right - let's review the answer. -10y2sin(21) + 20xy cos(21) Reflect in ePortfolio Activity Details • Task: View this topic 69°F Sunny Q Search 目 Loc Pro Ω d2l.yorktech.edu/d21/le/content/1014840/viewC... Q⭑ 1 Gmail CENGAGE module:... ‣ YouTube Maps D2L York Technical Colle... □ Al dx dt dy = -10 sin(2t) = 10 cos(2t) dt dw Use these derivatives and partial derivatives to find dt dw dt y2(-10 sin(2t)) + 2xy(10 cos(2t)) = -10y² sin(2t) + 20xy cos(2t) Substitute the appropriate expressions in for x and y to get dw dt 125 sin(2t) (3 cos(4t) + 1). Content attribution Reflect in ePortfolio Activity Details • Task: View this topic 69°F Sunny Q Search CONTINUE < >

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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D2L 3.5 The Chain Rule for Function d2l.yorktech.edu/d21/le/content/1014840/viewC... Q Pop ← C M Gmail CENGAGE module:... ►YouTube A Maps D2L York Technical Colle... All Bookmarks 0 Ca PU CURRENT OBJECTIVE Use the chain rule for one independent variable Question If w= xy2, x = 5 cos(2t), and y = Answer 1: 2024 Cod Pro 5 sin(2t), find dw dt X That's not right - let's review the answer. -10y2sin(21) + 20xy cos(21) Reflect in ePortfolio Activity Details • Task: View this topic 69°F Sunny Q Search 目
Transcribed Image Text:D2L 3.5 The Chain Rule for Function d2l.yorktech.edu/d21/le/content/1014840/viewC... Q Pop ← C M Gmail CENGAGE module:... ►YouTube A Maps D2L York Technical Colle... All Bookmarks 0 Ca PU CURRENT OBJECTIVE Use the chain rule for one independent variable Question If w= xy2, x = 5 cos(2t), and y = Answer 1: 2024 Cod Pro 5 sin(2t), find dw dt X That's not right - let's review the answer. -10y2sin(21) + 20xy cos(21) Reflect in ePortfolio Activity Details • Task: View this topic 69°F Sunny Q Search 目
Loc Pro Ω d2l.yorktech.edu/d21/le/content/1014840/viewC... Q⭑ 1 Gmail CENGAGE module:... ‣ YouTube Maps D2L York Technical Colle... □ Al dx dt dy = -10 sin(2t) = 10 cos(2t) dt dw Use these derivatives and partial derivatives to find dt dw dt y2(-10 sin(2t)) + 2xy(10 cos(2t)) = -10y² sin(2t) + 20xy cos(2t) Substitute the appropriate expressions in for x and y to get dw dt 125 sin(2t) (3 cos(4t) + 1). Content attribution Reflect in ePortfolio Activity Details • Task: View this topic 69°F Sunny Q Search CONTINUE < >
Transcribed Image Text:Loc Pro Ω d2l.yorktech.edu/d21/le/content/1014840/viewC... Q⭑ 1 Gmail CENGAGE module:... ‣ YouTube Maps D2L York Technical Colle... □ Al dx dt dy = -10 sin(2t) = 10 cos(2t) dt dw Use these derivatives and partial derivatives to find dt dw dt y2(-10 sin(2t)) + 2xy(10 cos(2t)) = -10y² sin(2t) + 20xy cos(2t) Substitute the appropriate expressions in for x and y to get dw dt 125 sin(2t) (3 cos(4t) + 1). Content attribution Reflect in ePortfolio Activity Details • Task: View this topic 69°F Sunny Q Search CONTINUE < >
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