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

question 29

Multiple Choice

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

• A) \(2 \ln x - \operatorname { sech } ^ { - 1 } x\)
• B) \(\frac { 2 } { x } - \frac { \operatorname { sech } ^ { - 1 } x } { \sqrt { 1 - x ^ { 2 } } }\)
• C) \(\frac { 1 } { x } - \frac { x \operatorname { sech } ^ { - 1 } x } { 2 \sqrt { 1 - x ^ { 2 } } }\)
• D) \(\frac { 1 } { x } - \frac { x \operatorname { sech } ^ { - 1 } x } { \sqrt { 1 - x ^ { 2 } } }\)

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