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Find the Derivative Of f(x)=2(sin1x)3f ( x ) = 2 \left( \sin ^ { - 1 } x \right) ^ { 3 }

Question 77

Multiple Choice

Find the derivative of f(x) =2(sin1x) 3f ( x ) = 2 \left( \sin ^ { - 1 } x \right) ^ { 3 }


A) 6(sin1x) 21+x2\frac { 6 \left( \sin ^ { - 1 } x \right) ^ { 2 } } { 1 + x ^ { 2 } }
B) 6(sin1x) 21x2\frac { 6 \left( \sin ^ { - 1 } x \right) ^ { 2 } } { \sqrt { 1 - x ^ { 2 } } }
C) 6(sin1x) 1x2\frac { 6 \left( \sin ^ { - 1 } x \right) } { \sqrt { 1 - x ^ { 2 } } }
D) 6(sin1x) 1+x2\frac { 6 \left( \sin ^ { - 1 } x \right) } { 1 + x ^ { 2 } }

Correct Answer:

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