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If s = (x² + 1)²/3 (3y² + 8y +4) 4(3z+2) 5, find d²s d²s dy² d²s dz²

If s = (x² + 1)²/3 (3y² + 8y +4) 4(3z+2) 5, find d²s d²s dy² d²s dz²

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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If \( s = (x^2 + 1)^{2/3} (3y^2 + 8y + 4)^4 (3z + 2)^5 \), find: - \(\frac{d^2 s}{dx^2}\) - \(\frac{d^2 s}{dy^2}\) - \(\frac{d^2 s}{dz^2}\) This expression involves finding the second partial derivatives of the function \( s \) with respect to the variables \( x \), \( y \), and \( z \). Each term in the expression is raised to a power, indicating the use of the chain rule and product rule in differentiation.
Transcribed Image Text:If \( s = (x^2 + 1)^{2/3} (3y^2 + 8y + 4)^4 (3z + 2)^5 \), find: - \(\frac{d^2 s}{dx^2}\) - \(\frac{d^2 s}{dy^2}\) - \(\frac{d^2 s}{dz^2}\) This expression involves finding the second partial derivatives of the function \( s \) with respect to the variables \( x \), \( y \), and \( z \). Each term in the expression is raised to a power, indicating the use of the chain rule and product rule in differentiation.
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