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Find y" by implicit differentiation. 4x² + y² = 2

Find y" by implicit differentiation. 4x² + y² = 2

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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**Implicit Differentiation: Second Derivative** **Problem Statement** Find \( y'' \) by implicit differentiation. \[ 4x^2 + y^2 = 2 \] **Solution Box** \[ y'' = \] **Additional Resources** - **Need Help?** - [Read It] - [Watch It] **Instructions** To solve for \( y'' \), apply implicit differentiation to the equation \( 4x^2 + y^2 = 2 \). Use the rules of differentiation to find \( \frac{dy}{dx} \), and then differentiate again to find \( \frac{d^2y}{dx^2} \), which is \( y'' \). **Submit Answer** Click the "Submit Answer" button after you complete the calculations.
Transcribed Image Text:**Implicit Differentiation: Second Derivative** **Problem Statement** Find \( y'' \) by implicit differentiation. \[ 4x^2 + y^2 = 2 \] **Solution Box** \[ y'' = \] **Additional Resources** - **Need Help?** - [Read It] - [Watch It] **Instructions** To solve for \( y'' \), apply implicit differentiation to the equation \( 4x^2 + y^2 = 2 \). Use the rules of differentiation to find \( \frac{dy}{dx} \), and then differentiate again to find \( \frac{d^2y}{dx^2} \), which is \( y'' \). **Submit Answer** Click the "Submit Answer" button after you complete the calculations.
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