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

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) $\frac { \ln 9 } { \sqrt { 1 + \left( \frac { 1 } { 9 } \right) ^ { 2 \theta } } }$