Let f: R³ → R be a function. Assume all of its partial derivatives exist everywhere. Which of the following statements most accurately describes 02 f(1, 3, 7)? Select the best answer. O It is the slope of the graph of f(x,y,z) at (1,3,7). O It is the slope of the tangent line to the graph of f(x,y,z) at (1,3,7). O It is the slope of the graph of f(1.y.7) at y=3. It is the slope of the tangent line to the graph of f(1.y.7) at y-3. O It is the derivative of f(1,y,7).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 4CR
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Let f: R³ → R be a function. Assume all of its partial derivatives exist
everywhere.
Which of the following statements most accurately describes
02 f (1,3,7)? Select the best answer.
It is the slope of the graph of f(x,y,z) at (1,3,7).
It is the slope of the tangent line to the graph of f(x,y,z) at (1,3,7).
O It is the slope of the graph of f(1,y,7) at y=3.
It is the slope of the tangent line to the graph of f(1,y,7) at y=3.
It is the derivative of f(1,y,7).
Transcribed Image Text:Let f: R³ → R be a function. Assume all of its partial derivatives exist everywhere. Which of the following statements most accurately describes 02 f (1,3,7)? Select the best answer. It is the slope of the graph of f(x,y,z) at (1,3,7). It is the slope of the tangent line to the graph of f(x,y,z) at (1,3,7). O It is the slope of the graph of f(1,y,7) at y=3. It is the slope of the tangent line to the graph of f(1,y,7) at y=3. It is the derivative of f(1,y,7).
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