Find the Derivative of Y with Respect to the Appropriate $$y = \operatorname { csch } ^ { - 1 } \left( \frac { 1 } { 9 } \right) ^ { \theta }$$

question 95

Multiple Choice

Find the derivative of y with respect to the appropriate variable.
- $$y = \operatorname { csch } ^ { - 1 } \left( \frac { 1 } { 9 } \right) ^ { \theta }$$

• A)\(\frac{\ln \frac{1}{9}}{\sqrt{1+\left(\frac{1}{9}\right)^{2 \theta}}}\)
• B) \(\frac { \left( \frac { 1 } { 9 } \right) ^ { \theta } \ln 9 } { \sqrt { 1 + \left( \frac { 1 } { 9 } \right) ^ { 2 \theta } } }\)
• C) \(\frac { \ln 9 } { \left( \frac { 1 } { 9 } \right) ^ { \theta } \sqrt { 1 + \left( \frac { 1 } { 9 } \right) ^ { \theta } } }\)
• D) \(\frac { \ln 9 } { \sqrt { 1 + \left( \frac { 1 } { 9 } \right) ^ { 2 \theta } } }\)

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