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Find the Derivative of Y with Respect to the Appropriate y=3lnx+1x2sech1xy = 3 \ln x + \sqrt { 1 - x ^ { 2 } } \operatorname { sech } ^ { - 1 } x

Question 36

Multiple Choice

Find the derivative of y with respect to the appropriate variable.
- y=3lnx+1x2sech1xy = 3 \ln x + \sqrt { 1 - x ^ { 2 } } \operatorname { sech } ^ { - 1 } x


A) 2xxsech1x21x2\frac { 2 } { x } - \frac { x \operatorname { sech } ^ { - 1 } x } { 2 \sqrt { 1 - x ^ { 2 } } }
B) 2xxsech1x1x2\frac { 2 } { x } - \frac { x \operatorname { sech } ^ { - 1 } x } { \sqrt { 1 - x ^ { 2 } } }
C) 3lnxsech1x3 \ln x - \operatorname { sech } ^ { - 1 } x
D) 3xsech1x1x2\frac { 3 } { x } - \frac { \operatorname { sech } ^ { - 1 } x } { \sqrt { 1 - x ^ { 2 } } }

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