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

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) $\pi$

Correct Answer:

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