Show full answers to part a) b) & c) **Title: Calculating Partial Derivatives of a Multivariable Function**---**Section 4: Derivatives of a Multivariable Function****§13.3, Question 49:** Consider the function $ w = w(x, y, z) $.Given by the expression:\[ w = \sqrt{x^2 + y^2 + z^2} \]We are tasked with finding the following partial derivatives:**Part (a):** Find $\frac{\partial w}{\partial x}$.**Part (b):** Find $\frac{\partial w}{\partial y}$.**Part (c):** Find $\frac{\partial w}{\partial z}$.---*Note: This exercise involves finding the rate of change of the function $ w $ with respect to the variables $ x $, $ y $, and $ z $ individually, while considering the other variables constant. This is a common technique in multivariable calculus called partial differentiation.*

Given function-We have to find the partial derivatives.

Answered: 4. §13.3. Q49. Consider function w=w(x,…

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Calculus

4. §13.3. Q49. Consider function w=w(x, y, z). (a). Find Ow/dx. (b). Find Ow/ay. (c). Find əw/az. w = √√√x² + y² + 2².

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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Question

Show full answers to part a) b) & c)

Expert Solution

Step 1: Define problem.

Given function-

$w equals w left parenthesis x comma y comma z right parenthesis equals square root of x squared plus y squared plus z squared end root$

We have to find the partial derivatives.

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