multivariate calculus   Please note :For this question, please note that while you are finding dv/dx, y is a function of x, so is z. So you need to incorporate that information into the function v before you take the derivative. Like the lecture example, if you just take the derivative of v (without incorporating the other functions), you’re missing part of the process that includes other functions of x. It’s first important to plug in these other functions of x so that you’re taking the total derivative. Find the total derivative of V with respect to X. V=3X^3 + 5Y^2 +6Z Z=4+5X Y=3X+6Z+5XZ

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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multivariate calculus

 

Please note :For this question, please note that while you are finding dv/dx, y is a function of x, so is z. So you need to incorporate that information into the function v before you take the derivative. Like the lecture example, if you just take the derivative of v (without incorporating the other functions), you’re missing part of the process that includes other functions of x. It’s first important to plug in these other functions of x so that you’re taking the total derivative.

  1. Find the total derivative of V with respect to X.

V=3X^3 + 5Y^2 +6Z

Z=4+5X

Y=3X+6Z+5XZ

 

 

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