Use Chain rule find the derivative w= 4x^2 +3y^2 with respect to t along the path x=sint and y= cost O 4cost *sint O 2sint *cost 3sint *cost O cost *sint

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 Chain rule find the derivative
w= 4x^2 +3y^2 with respect to t
along the path x=sint and y= cost
4cost *sint
2sint *cost
3sint *cost
cost *sint
d/dx [x/(x^2 + y^2) ] = *
[(y^2 + x^2)/(x^2 + y^2)^2]
-[(y^2 +x^2)/(x^2 + y^2)^2]
-[(y^2 -x^2)/(x^2 + y^2)^2]
O [(y^2-x^2)/(x^2 + y^2)^2]
Transcribed Image Text:Use Chain rule find the derivative w= 4x^2 +3y^2 with respect to t along the path x=sint and y= cost 4cost *sint 2sint *cost 3sint *cost cost *sint d/dx [x/(x^2 + y^2) ] = * [(y^2 + x^2)/(x^2 + y^2)^2] -[(y^2 +x^2)/(x^2 + y^2)^2] -[(y^2 -x^2)/(x^2 + y^2)^2] O [(y^2-x^2)/(x^2 + y^2)^2]
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