find the directions in which ƒ increases and decreasesmost rapidly at P0 and find the derivative of ƒ in each direction.Also, find the derivative of ƒ at P0 in the direction of the vector v. ƒ(x, y, z) = x2 + 3xy - z2 + 2y + z + 4, P0(0, 0, 0), v = i + j + k
find the directions in which ƒ increases and decreasesmost rapidly at P0 and find the derivative of ƒ in each direction.Also, find the derivative of ƒ at P0 in the direction of the vector v. ƒ(x, y, z) = x2 + 3xy - z2 + 2y + z + 4, P0(0, 0, 0), v = i + j + k
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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find the directions in which ƒ increases and decreases
most rapidly at P0 and find the derivative of ƒ in each direction.
Also, find the derivative of ƒ at P0 in the direction of the
v = i + j + k
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The calculus helps in understanding the changes between values that are related by a function. It is used in different areas such as physics, biology and sociology and so on. The calculus is the language of engineers, scientists and economics.
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f increased most rapidly in the direction
f increased most rapidly in the direction
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