Let $f ( x ) = \sin ^ { - 1 } ( 2 x )$

question 71

Multiple Choice

Let $f ( x ) = \sin ^ { - 1 } ( 2 x )$ . Find the value of $f ^ { \prime } ( 0 )$ .

• A) \(- \frac { 1 } { 2 }\)
• B).2
• C) \(- 2\)
• D)1
• E) \(\frac { 1 } { 2 }\)
• F) \(- 1\)
• G).0
• H) \(- \frac { 1 } { \sqrt { 2 } }\)

Understand the importance of cognitive maturity in acknowledging the complexity of real-world issues.

Identify and exemplify critical thinking habits of mind such as tolerance and open-mindedness.

Explain the sequential or integrated use of critical thinking skills in problem-solving.

Describe the process of engaging critical thinking through questioning.

---

Definitions:

Resistant to Psychotherapy

Describes individuals or conditions that do not respond favorably or as expected to psychotherapeutic interventions, often requiring alternative approaches.

Personality Traits

Enduring characteristics or tendencies that define an individual’s patterns of thought, feeling, and behavior.

Inherited Characteristics

Traits or features that are passed down from one generation to the next through genes.

Categorical Approach

A method of classifying and understanding objects or concepts by arranging them into distinct groups based on common characteristics.