If $x ^ { 5 } y = 3 e ^ { x + y } , \text { find } d y / d x$

question 99

Multiple Choice

If $x ^ { 5 } y = 3 e ^ { x + y } , \text { find } d y / d x$

• A) \(\frac { d y } { d x } = \frac { 3 e ^ { x + y } - 5 x ^ { 5 } y } { x ^ { 5 } + 3 e ^ { x + y } }\)
• B) \(\frac { d y } { d x } = \frac { 3 e ^ { x + y } - 5 x ^ { 4 } y } { x ^ { 5 } - 3 e ^ { x + y } }\)
• C) \(\frac { d y } { d x } = \frac { 3 e ^ { x + y } + x ^ { 4 } y } { x ^ { 5 } - 3 e ^ { x + y } }\)
• D) \(\frac { d y } { d x } = \frac { e ^ { x + y } - 5 x ^ { 4 } y } { x ^ { 5 } - e ^ { x + y } }\)
• E) \(\frac { d y } { d x } = \frac { 3 e ^ { x + y } + x ^ { 5 } y } { x ^ { 5 } - e ^ { x + y } }\)

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Definitions:

Somatic Symptom Disorder

A mental disorder characterized by excessive focus on physical symptoms, such as pain or fatigue, that causes major emotional distress and problems functioning.

Cognitive-Behavioral

Pertains to a type of psychotherapy that combines cognitive and behavioral techniques to modify dysfunctional emotions, behaviors, and thoughts.

Psychodynamic

Referring to a psychological approach that emphasizes the systematic study of the psychological forces that underlie human behavior, feelings, and emotions and how they might relate to early experience.

Conversion Disorder

A mental condition where a person experiences physical symptoms that are not explainable by medical conditions, believed to arise from psychological conflicts.