A curve is defined implicitly by the equation x²+xy+y³=1 dy Differentiate implicitly to find dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A curve is defined implicitly by the equation
x²+xy+y3= 1
dy
Differentiate implicitly to find
dx
dy
= +
dx
(2x+y)
A
x+ 3y2
(2x+ y)
3y2
dy
В
dx
(C) None of the other answers
dy
(x+3y²)
dx
y+2x
dy
E
dx
(2x+y)
x+ 3y2
Transcribed Image Text:A curve is defined implicitly by the equation x²+xy+y3= 1 dy Differentiate implicitly to find dx dy = + dx (2x+y) A x+ 3y2 (2x+ y) 3y2 dy В dx (C) None of the other answers dy (x+3y²) dx y+2x dy E dx (2x+y) x+ 3y2
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