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) \(- \frac { 1 } { \sqrt { 2 } }\)

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Definitions:

Predictive Validity

The extent to which a test accurately forecasts a specific future outcome.

Concurrent Validity

The degree to which the results of a particular test correlate with those of another established measure given at the same time.

Reliability

The consistency and dependability of a measure or test over time, ensuring that similar results are achieved under consistent conditions.

Standard Deviation

A statistical measure of the dispersion or variation in a set of values, indicating how much individual data points differ from the mean value.