Find the Derivative of Y with Respect to the Appropriate $$y = ( 8 - 8 \theta ) \tanh ^ { - 1 } \theta$$

question 67

Multiple Choice

Find the derivative of y with respect to the appropriate variable.
- $$y = ( 8 - 8 \theta ) \tanh ^ { - 1 } \theta$$

• A) \(\frac { 8 } { 1 - \theta } - 8 \tanh ^ { - 1 } \theta\)
• B) \(\frac { 8 + 8 \theta } { 1 + \theta ^ { 2 } } - 8 \tanh ^ { - 1 } \theta\)
• C) \(\frac { - 8 } { 1 + \theta }\)
• D) \(\frac { 8 } { 1 + \theta } - 8 \tanh ^ { - 1 } \theta\)

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Definitions:

Autonomic Nervous System

A part of the peripheral nervous system that controls bodily functions not consciously directed, like breathing, the heartbeat, and digestive processes.

Somatic Nervous System

Part of the peripheral nervous system that controls voluntary movements of the body and transmits sensory information to the central nervous system.

Central Nervous System

The part of the nervous system that consists of the brain and spinal cord, responsible for processing and transmitting information.

Afferent Nerve Fibres

Nerve fibers that carry sensory signals from organs and tissues towards the central nervous system.