Find the Derivative of the Function at P0 in the Direction

question 404

Multiple Choice

Find the derivative of the function at P0 in the direction of u.
- $f ( x , y , z ) = \ln \left( x ^ { 2 } + 9 y ^ { 2 } - 7 z ^ { 2 } \right) , \quad P _ { 0 } ( 9,9,9 ) , \quad \mathbf { u } = 3 \mathbf { i } + 4 \mathbf { j }$

• A) \(\frac { 26 } { 15 }\)
• B) \(\frac { 13 } { 15 }\)
• C) \(\frac { 52 } { 45 }\)
• D) \(\frac { 26 } { 45 }\)

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Definitions:

CS Precedes US

In classical conditioning, the conditioned stimulus (CS) is presented before the unconditioned stimulus (US) to establish a conditioned response.

0.5 Seconds

A time measurement equal to half a second, often used in various scientific and contextual scenarios to describe very short durations.

Relearning

The process of learning material or skills that were previously learned and then forgotten.

Original Learning

The initial process of acquiring knowledge or skills through experience, study, or instruction.