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

question 112

Multiple Choice

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

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

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