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 Find the derivative of the function f(x)=10arcsin(x9)\text { Find the derivative of the function } f ( x ) = 10 \arcsin ( x - 9 ) \text {. }

Question 91

Multiple Choice

 Find the derivative of the function f(x) =10arcsin(x9) \text { Find the derivative of the function } f ( x ) = 10 \arcsin ( x - 9 ) \text {. }


A) ft(x) =10(x9) 21f ^ { t } ( x ) = \frac { 10 } { \sqrt { ( x - 9 ) ^ { 2 } - 1 } }
B) ft(x) =10(x9) 21f ^ { t } ( x ) = \frac { 10 } { ( x - 9 ) ^ { 2 } - 1 }
C) ft(x) =10(x9) 2+1f ^ { t } ( x ) = \frac { 10 } { ( x - 9 ) ^ { 2 } + 1 }
D) ft(x) =1018xx280f ^ { t } ( x ) = \frac { 10 } { \sqrt { 18 x - x ^ { 2 } - 80 } }
E) ft(x) =101+(x9) 2f ^ {t } ( x ) = \frac { 10 } { \sqrt { 1 + ( x - 9 ) ^ { 2 } } }

Correct Answer:

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