Find the Directional Derivative Of $f ( x , y , z ) = 3 x y z ^ { 2 } - 4 x z$

question 39

Essay

Find the directional derivative of $f ( x , y , z ) = 3 x y z ^ { 2 } - 4 x z$ at the point (3, 3, 2), in the direction of the vector $\vec { v } = 2 \vec { i } + 3 \vec { j } - \vec { k }$

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Definitions:

Yield

The annual percentage yield received from an investment, including interest or dividends, relative to the cost of that investment.

Rate Anticipation Swap

A switch made between bonds of different durations in response to forecasts of interest rates.

Portfolio Duration

A measure of the sensitivity of a portfolio's value to changes in interest rates, often used for managing the interest rate risk.

Interest Rates

The expense associated with obtaining a loan, or the incentive for depositing funds, usually shown as a percentage of the original amount.