   Chapter 12.2, Problem 66E

Chapter
Section
Textbook Problem

# Using a Derivative The z-component of the derivative of the vector-valued function u is 0 for t in the domain of the function. What does this imply about the graph of u?

To determine

The explanation of the graph of u if the z-component of the derivative of the vector-valued function u is 0 for t in the domain of the function.

Explanation

The z-component of the derivative of the vector-valued function u is 0 for t in the domain of the function. That means, at that value of t the vector value function slope is zero along the z-axis. The slope of the vector value function is zero along any component at a particular point that means along that axis the function is maximum or minimum about that point

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