Solve the Problem $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = \tan ^ { - 1 } \frac { \mathrm { y } } { \mathrm { x } }$

question 47

Multiple Choice

Solve the problem.
-Find the derivative of the function $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = \tan ^ { - 1 } \frac { \mathrm { y } } { \mathrm { x } }$ at the point $( - 3,3 )$ in the direction in which the function increases most rapidly.

• A) \(\frac { \sqrt { 3 } } { 6 }\)
• B) \(\frac { \sqrt { 3 } } { 9 }\)
• C) \(\frac { \sqrt { 2 } } { 9 }\)
• D) \(\frac { \sqrt { 2 } } { 6 }\)

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Definitions:

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The act of conforming to, following, or acting in accordance with requests, standards, or rules.

Mere Compliance

Following orders, rules, or requests with minimal effort or enthusiasm, often without internal agreement or dedication.

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Having the desire or willingness to do something, especially in the context of achieving goals or fulfilling tasks.

Conform

To align one's behavior or beliefs to match those of a group, society, or set of standards.