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Find the second derivative, Select the correct answer below: d² 9x² dx² y³ d²y 7.3 dx² 3y³ d²y dx² d²y dx2 d²y dx² d²y dx² d'y dx² 9x² y³ 36x² y? 72x² y7 72x² y² d²y , where y is related to a implicitly by the equation below. da2, -3x² + y² = 4 36x² y7

Find the second derivative, Select the correct answer below: d² 9x² dx² y³ d²y 7.3 dx² 3y³ d²y dx² d²y dx2 d²y dx² d²y dx² d'y dx² 9x² y³ 36x² y? 72x² y7 72x² y² d²y , where y is related to a implicitly by the equation below. da2, -3x² + y² = 4 36x² y7

Calculus For The Life Sciences
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.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 2E
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### Implicit Differentiation Question **Problem Statement:** Find the second derivative, \(\frac{d^2y}{dx^2}\), where \(y\) is related to \(x\) implicitly by the equation below. \[ -3x^4 + y^4 = 4 \] **Question:** Select the correct answer below: - \( \frac{d^2y}{dx^2} = \frac{9x^2}{y^3} \) - \( \frac{d^2y}{dx^2} = \frac{x^3}{3y^3} \) - \( \frac{d^2y}{dx^2} = -\frac{9x^2}{y^3} \) - \( \frac{d^2y}{dx^2} = \frac{36x^2}{y^7} \) - \( \frac{d^2y}{dx^2} = -\frac{72x^2}{y^7} \) - \( \frac{d^2y}{dx^2} = \frac{72x^2}{y^7} \) - \( \frac{d^2y}{dx^2} = -\frac{36x^2}{y^7} \) *The answer marked with a blue indicator is \( \frac{d^2y}{dx^2} = \frac{x^3}{3y^3} \).*
Transcribed Image Text:### Implicit Differentiation Question **Problem Statement:** Find the second derivative, \(\frac{d^2y}{dx^2}\), where \(y\) is related to \(x\) implicitly by the equation below. \[ -3x^4 + y^4 = 4 \] **Question:** Select the correct answer below: - \( \frac{d^2y}{dx^2} = \frac{9x^2}{y^3} \) - \( \frac{d^2y}{dx^2} = \frac{x^3}{3y^3} \) - \( \frac{d^2y}{dx^2} = -\frac{9x^2}{y^3} \) - \( \frac{d^2y}{dx^2} = \frac{36x^2}{y^7} \) - \( \frac{d^2y}{dx^2} = -\frac{72x^2}{y^7} \) - \( \frac{d^2y}{dx^2} = \frac{72x^2}{y^7} \) - \( \frac{d^2y}{dx^2} = -\frac{36x^2}{y^7} \) *The answer marked with a blue indicator is \( \frac{d^2y}{dx^2} = \frac{x^3}{3y^3} \).*
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