Find the Function with the Given Derivative Whose Graph Passes $\mathrm { r } ^ { \prime } ( \theta ) = 4 + \sec ^ { 2 } \theta , \mathrm { P } \left( \frac { \pi } { 4 } , 0 \right)$

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $\mathrm { r } ^ { \prime } ( \theta ) = 4 + \sec ^ { 2 } \theta , \mathrm { P } \left( \frac { \pi } { 4 } , 0 \right)$

A) $r ( \theta ) = 4 \theta + \tan \theta - \pi - 1$
B) $r ( \theta ) = 4 \theta + \frac { 1 } { 3 } \sec ^ { 3 } \theta$
C) $r ^ { \prime } ( \theta ) = 2 \theta ^ { 2 } + \tan \theta + \pi$
D) $r ( \theta ) = 2 \theta ^ { 2 } + \tan \theta - \pi - 1$