Find the Maximum Rate of Change Of $f ( x , y ) = x y ^ { 2 } + \sqrt { y }$

question 79

Short Answer

Find the maximum rate of change of $f ( x , y ) = x y ^ { 2 } + \sqrt { y }$ at the point $( 2,1 )$ . In what direction does it occur?

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Definitions:

Unitary

Refers to a centralized governmental structure where local or provincial divisions have little independent power outside the central authority's directives.

Confederal

Relating to a confederation, which is an alliance between sovereign states, where the central authority has limited powers and the member states retain a high degree of autonomy.

Government Style

The manner in which a government is organized and operates, often characterized by the distribution of power between branches and the methods of leadership.

Franklin Roosevelt

The 32nd President of the United States, leading the country during the Great Depression and World War II, known for his New Deal domestic policies.