Find the Indicated Partial Derivative $$f ( x , y ) = x ^ { 2 } y ^ { 4 } - 3 x ^ { 4 } y , f _ { m x }$$

question 39

Multiple Choice

Find the indicated partial derivative. $$f ( x , y ) = x ^ { 2 } y ^ { 4 } - 3 x ^ { 4 } y , f _ { m x }$$

• A) \(f _ { xx x } = 12 x ^ { 2 } y\)
• B) \(f _ { xx x } = - 36 x y\)
• C) \(f _ { xx x } = 3 x y\)
• D) \(f _ { xxx } = - 72 x y\)
• E) \(f _ { xx x } = - 3 x y\)

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Definitions:

Frederick Herzberg

An American psychologist best known for developing the Motivation-Hygiene Theory, which suggests that certain factors in the workplace lead to job satisfaction, while a separate set of factors cause dissatisfaction.

Working Conditions

The environment and circumstances under which employees complete their job tasks, including physical space, hours, and social aspects.

Intrinsic Rewards

The internal satisfaction and joy derived from performing an activity or achieving a goal, rather than from any external benefits or rewards.

Hierarchy of Needs

A theory in psychology proposed by Abraham Maslow, suggesting humans are motivated by five basic categories of needs: physiological, safety, love/belonging, esteem, and self-actualization.