Final answer:
A drug that produces genotoxicity is classified as a carcinogenic drug. The antimicrobial drug with broad-spectrum activity, modified from a natural source, is semisynthetic.
Step-by-step explanation:
A drug that produces genotoxicity is classified as a carcinogenic drug. Genotoxic substances can cause damage to the genetic material within a cell and lead to mutations, which may contribute to the development of cancer. The new antimicrobial drug described in the scenario with broad-spectrum activity, which is chemically modified from a natural compound, is considered semisynthetic.