Given: X == In(x²y - 1) y Find dy/dx. dy dx x²y-1 y-1 (E) None of these 1 2xy dy y x²y-1 dx + dy dx dy dx - = 2xy 1-y² y x² x²y-1 2x x²y-1 X y²+2xy+1 X (x²y-1) 2xy y² - 2xy + 1

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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Question 1
Given:
X
y
Find dy/dx.
dy
dx
x²y-1
y-1
(E) None of these
1
2xy
dy
y
x²y-1
dx
+*
y²
1
X
dx
,
In(x²y-1)
dy
dx
2xy
1-y²
x²
x²y-1
2x
x²y-1
X
y²+2xy+1
(x²y-1)
2xy
y² - 2xy + 1
Transcribed Image Text:Question 1 Given: X y Find dy/dx. dy dx x²y-1 y-1 (E) None of these 1 2xy dy y x²y-1 dx +* y² 1 X dx , In(x²y-1) dy dx 2xy 1-y² x² x²y-1 2x x²y-1 X y²+2xy+1 (x²y-1) 2xy y² - 2xy + 1
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