Find the Derivative of Y with Respect to the Appropriate $$y = \sinh ^ { - 1 } ( \cos x )$$

question 51

Multiple Choice

Find the derivative of y with respect to the appropriate variable.
- $$y = \sinh ^ { - 1 } ( \cos x )$$

• A) \(- \sin x\)
• B) \(\frac { 1 } { \sqrt { 1 + \cos ^ { 2 } x } }\)
• C) \(\frac { - \sin x } { \sqrt { 1 + x ^ { 2 } } }\)
• D) \(\frac { - \sin x } { \sqrt { 1 + \cos ^ { 2 } x } }\)

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Definitions:

Sexual Development

The process of physical and emotional changes that occur as a person goes through puberty, leading to the development of secondary sexual characteristics and sexual maturity.

Androgens

A group of hormones, including testosterone, that play a role in male traits and reproductive activity but are also present in females in smaller amounts.

Male Fetuses

Unborn male offspring during the period from conception until birth, characterized by specific chromosomal composition (XY).

Androgen Insensitivity Syndrome

A condition where a person who is genetically male is resistant to male hormones (androgens), resulting in the development of female physical characteristics or ambiguous genitalia.