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) \(\frac { \sqrt { 2 } } { 6 }\)

Understand the concept and applications of data visualization in business communication.

Recognize the different types of charts and graphs used in data presentation and their specific purposes.

Understand the principles of comparing sets of data using visual aids.

Identify the significance of time and quantity axes in trend analysis.

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Definitions:

Profit Margin

A financial ratio indicating the percentage of revenue that remains as profit after accounting for the cost of goods sold and other expenses; a measure of profitability.

Investment Turnover

A financial ratio that measures the efficiency of a company in generating sales from its investments in securities or fixed assets.

Return On Investment

A performance measure used to evaluate the efficiency or profitability of an investment or compare the efficiency of several different investments.

Investment Turnover

A measure of the efficiency of an entity in generating revenue from its investments, often calculated as sales divided by the average investment.