Find the Function with the Given Derivative Whose Graph Passes $$\mathrm { r } ^ { \prime } ( \theta ) = \csc \theta \cot \theta - 3 , \mathrm { P } \left( \frac { 3 \pi } { 4 } , 0 \right)$$

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $$\mathrm { r } ^ { \prime } ( \theta ) = \csc \theta \cot \theta - 3 , \mathrm { P } \left( \frac { 3 \pi } { 4 } , 0 \right)$$

A) $r ( \theta ) = \csc \theta - 3 \theta + \frac { 9 \pi } { 4 } + \sqrt { 2 }$
B) $r ( \theta ) = - \csc \theta - 3 \theta + \frac { 9 \pi } { 4 } + \sqrt { 2 }$
C) $r ( \theta ) = - \csc \theta - 3 \theta$
D) $r ( \theta ) = - \csc \theta - \frac { t ^ { 9 } } { 3 }$