Step 1: Understanding the Concept:
Analytical reagents are used to detect (qualitative) or measure (quantitative) metal ions in a sample.
Step 2: Formula Application:
1. EDTA: Used in complexometric titrations for water hardness ($Ca^{2+}$, $Mg^{2+}$).
2. DMG (Dimethylglyoxime): Used to detect $Ni^{2+}$.
3. Cupron (Benzoin oxime): Used to detect Copper.
Step 3: Explanation:
D-penicillamine is a chelating agent, but it is primarily used in medicine to treat Wilson's disease (copper poisoning) or lead poisoning, rather than as a standard laboratory reagent for chemical analysis.
Step 4: Final Answer:
D-penicillamine is the reagent not used in standard chemical analysis.