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1 What is the direction of fastest increase at (-3, 4, –4) for the function f(x, y, z) = x2 + y2 + z2° (Use symbolic notation and fractions where needed. Give your answer in the form (*, *, *).)

1 What is the direction of fastest increase at (-3, 4, –4) for the function f(x, y, z) = x2 + y2 + z2° (Use symbolic notation and fractions where needed. Give your answer in the form (*, *, *).)

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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The problem asks: "What is the direction of fastest increase at (-3, 4, -4) for the function \( f(x, y, z) = \frac{1}{x^2 + y^2 + z^2} \). (Use symbolic notation and fractions where needed. Give your answer in the form (\(*, *, *\)).)" The textbox below this text is labeled as "direction:" for the answer. There are no graphs or diagrams present in the image.
Transcribed Image Text:The problem asks: "What is the direction of fastest increase at (-3, 4, -4) for the function \( f(x, y, z) = \frac{1}{x^2 + y^2 + z^2} \). (Use symbolic notation and fractions where needed. Give your answer in the form (\(*, *, *\)).)" The textbox below this text is labeled as "direction:" for the answer. There are no graphs or diagrams present in the image.
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