Find the partial derivatives: af (x, y, z)/dx, f(x, y, z)/dy, df(x, y, z)/dz for the following three dimensional function f(x, y, z) = sin(ex+xy+z) and write down its total differential, i.e. df(x, y, z).

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...
Question
Find the partial derivatives:
af (x, y, z)/dx, af(x, y, z)/dy, af(x, y, z)/dz
for the following three dimensional function
f(x, y, z) = sin(ex+xy+z) and write down its total differential,
i.e. df(x, y, z).
Transcribed Image Text:Find the partial derivatives: af (x, y, z)/dx, af(x, y, z)/dy, af(x, y, z)/dz for the following three dimensional function f(x, y, z) = sin(ex+xy+z) and write down its total differential, i.e. df(x, y, z).
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