The point P(p, 1), where p > 0, lies on the curve x² + 2xy³ – 3y* = 0. a) Calculate the value of p. b) Calculate the derivative of y w.r.t. x at point P. %3D

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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The point P(p, 1), where p> 0, lies on the curve x² + 2xy³ – 3y* = 0.
a) Calculate the value of p.
b) Calculate the derivative of y w.r.t. x at point P.
Transcribed Image Text:The point P(p, 1), where p> 0, lies on the curve x² + 2xy³ – 3y* = 0. a) Calculate the value of p. b) Calculate the derivative of y w.r.t. x at point P.
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