Final answer:
Gauss' Law for Electrostatics can be derived from Coulomb's Law due to the relationship between electric field and electric flux in symmetric charge distributions.
Step-by-step explanation:
Gauss' Law for Electrostatics can be derived from Coulomb's Law but not the other way around. Gauss's Law is pivotal in determining expressions for the electric field in situations with certain symmetries (spherical, cylindrical, or planar) by considering the electric flux. Coulomb's Law, which states the electrostatic force between point charges, is an inverse-square law that describes how force varies with distance. While both Gauss' Law and Coulomb's Law describe electric phenomena, Gauss' Law, derived from Coulomb's Law, can simplify the process for finding the electric field in symmetric charge distributions.