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 Find the derivative of the function f(x)=9arcsin(6x2+19x9)\text { Find the derivative of the function } f ( x ) = 9 \arcsin \left( 6 x ^ { 2 } + 19 x - 9 \right)

Question 112

Multiple Choice

 Find the derivative of the function f(x) =9arcsin(6x2+19x9) \text { Find the derivative of the function } f ( x ) = 9 \arcsin \left( 6 x ^ { 2 } + 19 x - 9 \right)


A) ft(x) =91+(6x2+19x9) 2f ^ { t } ( x ) = \frac { 9 } { 1 + \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } }
B) ft(x) =9(12x+19) 1+(6x2+19x9) 2f ^ { t } ( x ) = \frac { 9 ( 12 x + 19 ) } { 1 + \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } }
C) ft(x) =9(12x+19) 1(6x2+19x9) 2f ^ { t } ( x ) = \frac { 9 ( 12 x + 19 ) } { \sqrt { 1 - \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } } }
D) ft(x) =91(6x2+19x9) 2f ^ { t} ( x ) = \frac { 9 } { \sqrt { 1 - \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } } }
E) ft(x) =9(12x+19) 1+(6x2+19x9) 2f ^ { t } ( x ) = \frac { 9 ( 12 x + 19 ) } { \sqrt { 1 + \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } } }

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