Find Dy/dt $$y = \cos ( \sqrt { 6 t + 12 } )$$

question 225

Multiple Choice

Find dy/dt.
- $$y = \cos ( \sqrt { 6 t + 12 } )$$

• A) \(- \frac { 1 } { 2 \sqrt { 6 t + 12 } } \sin ( \sqrt { 6 t + 12 } )\)
• B) \(- \sin \left( \frac { 3 } { \sqrt { 6 t + 12 } } \right)\)
• C) \(- \sin ( \sqrt { 6 t + 12 } )\)
• D) \(\frac { 3 } { \sqrt { 6 t + 12 } } \sin ( \sqrt { 6 t + 12 } )\)

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Definitions:

Psychotherapy

A therapeutic approach involving psychological methods, particularly when based on regular personal interaction, to help a person change behavior and overcome problems in desired ways.

Defense Mechanisms

In psychoanalytic theory, the mechanisms of the ego that serve to protect an individual from experiencing anxiety produced by conflicts with the id, superego, or reality.

Mental Energy

The capacity of the mind to engage in cognitive activities and processes, such as thinking, problem-solving, and focusing attention.

Psychoanalytic Thinking

A psychological perspective that emphasizes the influence of the unconscious mind on behavior, originating from the work of Sigmund Freud.