Find the Derivative of the Function $$y = 3 \cos ^ { - 1 } \left( \sin ^ { - 1 } t \right)$$

question 7

Multiple Choice

Find the derivative of the function. $$y = 3 \cos ^ { - 1 } \left( \sin ^ { - 1 } t \right)$$

• A)
• \[y ^ { t } = - \frac { 3 } { \sqrt { \left( 1 - t ^ { 2 } \right) \left( 1 - \left( \sin ^ { - 1 } ( t ) \right) ^ { 2 } \right) } }\]
• B)
• \[y ^ { t } = - \frac { 3 } { \sqrt { \left( 1 - t ^ { 2 } \right) \left( 1 - \sin ^ { - 1 } ( t ) \right) } }\]
• C)
• \[y ^ { \prime } = - \frac { 3 } { \sqrt { \left( 1 - t ^ { 2 } \right) } }\]
• D)
• \[y ^ { t } = - \frac { 3 } { \sqrt { 1 - \left( \sin ^ { - 1 } ( t ) \right) ^ { 2 } } }\]
• E)
• \[y ^ { t } = - \frac { 3 } { \sqrt { \left( 1 + t ^ { 2 } \right) \left( 1 + \left( \sin ^ { - 1 } ( t ) \right) ^ { 2 } \right) } }\]

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Olfactory Information

Data related to the sense of smell, crucial for many animals in communication, food selection, and detection of hazards.

Olfactory Bulb

A brain structure involved in the sense of smell, processing odors and sending information to other parts of the brain.

Olfactory Receptors

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A representation within the brain of the body's parts and their relative positions; it is involved in processing sensory information and coordinating movement.