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 Find the derivative of the function f(x)=arcsec(9x)\text { Find the derivative of the function } f ( x ) = \operatorname { arcsec } ( 9 x ) \text {. }

Question 9

Multiple Choice

 Find the derivative of the function f(x) =arcsec(9x) \text { Find the derivative of the function } f ( x ) = \operatorname { arcsec } ( 9 x ) \text {. }


A) 19x81x21-\frac { 1 } { | 9 x | \sqrt { 81 x ^ { 2 } - 1 } }
B) 1x81x21 \frac { 1 } { | x | \sqrt { 81 x ^ { 2 } - 1 } }
C) 19x81x21\frac { 1 } { | 9 x | \sqrt { 81 x ^ { 2 } - 1 } }
D) 181x2+1\frac { 1 } { \sqrt { 81 x ^ { 2 } + 1 } }
E) 1x81x21- \frac { 1 } { | x | \sqrt { 81 x ^ { 2 } - 1 } }

Correct Answer:

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