Find All Possible Functions with the Given Derivative $\mathbf { r } ^ { \prime } = 4 + \frac { 1 } { \theta ^ { 4 } }$

Multiple Choice

Find all possible functions with the given derivative.
- $\mathbf { r } ^ { \prime } = 4 + \frac { 1 } { \theta ^ { 4 } }$

A) $r = 4 \theta + \theta ^ { 4 }$
B) $r = 4 \theta - \theta ^ { 5 }$
C) $r = 4 \theta - \frac { 1 } { 3 \theta ^ { 3 } }$
D) $r = 4 \theta + \frac { 1 } { 5 \theta ^ { 5 } }$