Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Implicit
a. Calculate dy/dx
directly from the equation for the unit circle x2 + y2 = 1.
b. Find the slope of the unit circle at
Transcribed Image Text:V3
and
V3
at
2' 2
Expert Solution
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Step 1
Solution:
Consider the given equation of the circle is x2+y2 = 1
(a)
Now differentiating above with respect to x we have
ddx(x2+y2) = ddx(1)2x + 2ydydx = 0dydx = -2x2ydydx = -xy
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