Find the Derivative of Y $y = \operatorname { sech } ( 5 \theta ) ( 1 - \ln \operatorname { sech } ( 5 \theta ) )$

question 80

Multiple Choice

Find the derivative of y.
- $y = \operatorname { sech } ( 5 \theta ) ( 1 - \ln \operatorname { sech } ( 5 \theta ) )$

• A) \(1 - 5 \operatorname { sech } ( 5 \theta ) \tanh ( 5 \theta ) \ln \operatorname { sech } ( 5 \theta )\)
• B) \(5 \operatorname { sech } ( 5 \theta ) \tanh ( 5 \theta ) \ln ( 5 \theta )\)
• C) \(\operatorname { sech } ( 5 \theta ) \tanh ( 5 \theta ) \ln \operatorname { sech } ( 5 \theta )\)
• D) \(5 \operatorname { sech } ( 5 \theta ) \tanh ( 5 \theta ) \ln \operatorname { sech } ( 5 \theta )\)

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Definitions:

Logical Reasoning

The process of using a rational, systematic series of steps based on sound mathematical procedures and given statements to arrive at a conclusion.

Moral Reasoning

The process through which individuals make decisions about what is right and wrong based on personal, societal, and ethical criteria.

Mathematical Transformations

The process of changing variables or applying operations to alter the form of a mathematical equation or function without changing its essence.

Theory Of Mind

The capacity to recognize and assign mental states such as beliefs, intentions, desires, emotions, and knowledge to oneself and others, while grasping that others may hold beliefs, desires, and intentions distinct from our own.