Find the Derivative of the Function at P0 in the Direction

question 10

Multiple Choice

Find the derivative of the function at P0 in the direction of u.
- $$f ( x , y ) = \tan ^ { - 1 } \frac { - 3 x } { y } , \quad P _ { 0 } ( - 7 , - 8 ) , \quad \mathbf { u } = 12 \mathbf { i } - 5 \mathbf { j }$$

• A) \(\frac { 393 } { 6565 }\)
• B) \(\frac { 456 } { 6565 }\)
• C) \(\frac { 27 } { 505 }\)
• D) \(\frac { 477 } { 6565 }\)

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Definitions:

Milliliters

A metric unit of volume equal to one thousandth of a liter, commonly used in liquid measurement.

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A method of administering medication directly into the veins.

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A large triangular muscle covering the shoulder joint that is responsible for lifting the arm.