Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x + 2y² with respect to x?

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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What is the result of differentiating both sides of the equation xsin⁡y = 2ln⁡x + 2y^2 with respect to x?

Which of the following is the result of differentiating both sides of the equation
x sin y = 2 ln x + 2y² with respect to x?
dy
2
sin y + cos y
dy
dx
dx
x
sin y + x cos y-
sin y + x cos y
sin y + x cos y
sin y + x cosy-
=
dy
dx
dy
dx
=
2
2
I
=
+4y.
2
x
+ 4y.
+4y-
+ 4y.
dy
dx
2 dy
+4y.
da
I
Transcribed Image Text:Which of the following is the result of differentiating both sides of the equation x sin y = 2 ln x + 2y² with respect to x? dy 2 sin y + cos y dy dx dx x sin y + x cos y- sin y + x cos y sin y + x cos y sin y + x cosy- = dy dx dy dx = 2 2 I = +4y. 2 x + 4y. +4y- + 4y. dy dx 2 dy +4y. da I
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