(Solved): Find \( g^{\prime}(x) \) for the given function. Then find \( g^{\prime}(-2), g^{\prime}(0) \), and ...

Find \( g^{\prime}(x) \) for the given function. Then find \( g^{\prime}(-2), g^{\prime}(0) \), and \( g^{\prime}(3) \). \[ g(x)=\sqrt{5 x} \] Find \( g^{\prime}(x) \) for the given function. \[ g^{\prime}(x)= \] Find \( g^{\prime}(-2) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( g^{\prime}(-2)= \) (Type an exact answer.) B. The derivative does not exist. Find \( g^{\prime}(0) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( g^{\prime}(0)=\quad \) (Type an exact answer. \( ) \) B. The derivative does not exist. Find \( g^{\prime}(3) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( g^{\prime}(3)= \) (Type an exact answer.) B. The derivative does not exist.