   Chapter 14.3, Problem 9E

Chapter
Section
Textbook Problem

The following surfaces, labeled a, b, and c, are graphs of a function f and its partial derivatives fx and fy. Identify each surface and give reasons for your choices.  To determine

To find: The graphs of a function f and its partial derivatives fx and fy from the given graph of a, b and c.

Explanation

Consider the point (3,3) .

Observe the given graphs and identify that the graph a is increasing and the graphs b and c are decreasing if the point (3,3) move in the positive direction of y.

Hence, the graph of fy is a.

Thus, the remaining two graphs b and c are the graphs of f and fx .

Next look at the point (3,1.5) .

Therefore, it can be concluded that the graph of fx is b and the graph of function f is c

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