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d²y If xy + y² = 9, find the value of at the point (0,1). 2 dx

d²y If xy + y² = 9, find the value of at the point (0,1). 2 dx

Calculus: Early Transcendentals
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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The problem states: "If \( xy + y^2 = 9 \), find the value of \( \frac{d^2 y}{dx^2} \) at the point (0,1)." Below this statement, it shows: \[ \left. \frac{d^2 y}{dx^2} \right|_{(0,1)} = \, \text{(Simplify your answer.)} \] This implies finding the second derivative of \( y \) with respect to \( x \) and evaluating it at the point \( (0,1) \).
Transcribed Image Text:The problem states: "If \( xy + y^2 = 9 \), find the value of \( \frac{d^2 y}{dx^2} \) at the point (0,1)." Below this statement, it shows: \[ \left. \frac{d^2 y}{dx^2} \right|_{(0,1)} = \, \text{(Simplify your answer.)} \] This implies finding the second derivative of \( y \) with respect to \( x \) and evaluating it at the point \( (0,1) \).
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