Derivative of aresine Assume that y = sin x is a differentia- ble function of x. By differentiating the equation x = sin y implicitly, show that dy/dx = 1/VI - x².

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 3E
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Derivative of aresine Assume that y = sin
x is a differentia-
ble function of x. By differentiating the equation x = sin y
implicitly, show that dy/dx = 1/VI - x².
Transcribed Image Text:Derivative of aresine Assume that y = sin x is a differentia- ble function of x. By differentiating the equation x = sin y implicitly, show that dy/dx = 1/VI - x².
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