Find the Derivative of Y with Respect to the Appropriate $$y = ( 1 - 7 t ) \operatorname { coth } ^ { - 1 } \sqrt { 7 t }$$

question 43

Multiple Choice

Find the derivative of y with respect to the appropriate variable.
- $$y = ( 1 - 7 t ) \operatorname { coth } ^ { - 1 } \sqrt { 7 t }$$

• A) \(\frac { \sqrt { 7 } } { 2 \sqrt { t } } - 7 \operatorname { coth } ^ { - 1 } \sqrt { 7 t }\)
• B) \(- \frac { 7 } { 2 } t\)
• C) \(( 1 - 7 t ) \operatorname { coth } ^ { - 1 } \sqrt { 7 t }\)
• D) \(\frac { \sqrt { 7 } } { 2 \sqrt { t } } - 7 \tanh ^ { - 1 } \sqrt { 7 t }\)

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Definitions:

Reaction Formation

A defense mechanism where unacceptable emotions or impulses are turned into their opposites to hide the true feelings.

Self-Acceptance

The recognition and acceptance of one’s own abilities, limitations, and value as a person, often regarded as a crucial component of mental health.

Self-Concept

An individual's perception and evaluation of themselves, including beliefs about one's abilities, appearance, and personality.

Unconscious Conflicts

Internal struggles that occur within the unconscious mind, often stemming from repressed desires or unmet needs, which can impact behavior and emotional well-being.