$\text { Use logarithmic differentiation to find } \frac { d y } { d x } \text {. }$

question 48

Multiple Choice

$\text { Use logarithmic differentiation to find } \frac { d y } { d x } \text {. }$ $y = x ^ { 8 x }$

• A) \(8 x ^ { 7 x }\)
• B) \(8 x ^ { 8 x - 1 }\)
• C) \(8 x ^ { 8 x } \ln x\)
• D) \(8 ( \ln x + 1 )\)
• E) \(8 x ^ { 8 x } ( \ln x + 1 )\)

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Definitions:

Spontaneous Remission

The unexpected partial or complete disappearance of symptoms of an illness or disease.

Mental Disorder

A health condition characterized by significant dysfunction in an individual's cognition, emotions, or behavior, often distressing and impairing.

Systematic Desensitization

A behavioral therapy technique used to gradually reduce anxiety through the use of relaxation techniques and exposure to feared stimuli.

Psychotherapy

The management of mental illness through psychological methods instead of medical treatments.