Find the Derivative of the Function $$y = 3 \sin ^ { - 1 } \left( x ^ { 2 } \right)$$

question 19

Multiple Choice

Find the derivative of the function.
$$y = 3 \sin ^ { - 1 } \left( x ^ { 2 } \right)$$

• A)
• \(y ^ { t } = \frac { 6 x } { \sqrt { 1 + x ^ { 4 } } }\)
• B)
• \(y ^ { t } = \frac { x } { \sqrt { 1 - x ^ { 2 } } }\)
• C)
• \(y ^ { t } = \frac { 6 x } { \sqrt { 1 - x ^ { 4 } } }\)
• D)
• \(y ^ {t } = \frac { 6 x } { \sqrt { 1 - x ^ { 2 } } }\)
• E) None of these

Identify the impact of societal inequalities on health insurance and healthcare access.

Understand the concept of herd immunity and its significance in public health.

Recognize how health and illness can be influenced by socioeconomic status and power dynamics.

Understand the process and implications of the medicalization of mental health.

---

Definitions:

Bacteria

Microscopic, single-celled organisms found in virtually every environment on Earth, capable of performing a vast array of metabolic functions.

Selection Pressure

Environmental factors that influence the reproductive success of individuals or populations, leading to evolution through survival of the fittest.

Virulent Strains

Variants of microorganisms, particularly viruses and bacteria, that have increased severity or harmfulness in their effects on hosts.

Pathogen Hosts

Organisms that harbor pathogens, serving as a site for the pathogen to live, grow, and multiply, potentially causing disease.