Find the Derivative of the Function at P0 in the Direction

question 383

Multiple Choice

Find the derivative of the function at P0 in the direction of u.
- $$f ( x , y ) = 6 x - 7 y , \quad P _ { 0 } ( - 7 , - 2 ) , \quad u = 4 i - 3 j$$

• A) \(- \frac { 11 } { 5 }\)
• B) \(\frac { 3 } { 5 }\)
• C) \(\frac { 59 } { 5 }\)
• D) 9

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Definitions:

Materialism

Philosophical position that behavior can be explained as a function of the nervous system without recourse to the mind.

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The complex processes and functions of the brain, including thought, emotion, and motor control.

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Nervous Systems

The network of nerve cells and fibers that transmits signals between different parts of the body, coordinating and regulating bodily functions.