Let $f ( x ) = \sin ^ { - 1 } \left( \frac { 4 } { x } \right)$

question 6

Multiple Choice

Let $f ( x ) = \sin ^ { - 1 } \left( \frac { 4 } { x } \right)$ . Find the value of $f ^ { \prime } ( 8 )$ .

• A) \(- \frac { 1 } { 8 \sqrt { 3 } }\)
• B) \(- \frac { 1 } { 4 \sqrt { 3 } }\)
• C) \(- \frac { 1 } { 2 \sqrt { 3 } }\)
• D) \(- \frac { 1 } { \sqrt { 3 } }\)
• E) \(\frac { \pi } { 8 }\)
• F) \(\frac { \pi } { 4 }\)
• G) \(\frac { \pi } { 2 }\)
• H) \(\pi\)

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