Step 1: Understanding the Question:
A dicarboxylic acid is an organic compound that contains two carboxylic acid ($-COOH$) functional groups.
Step 2: Detailed Explanation:
1. Valeric acid: It is pentanoic acid ($CH_3(CH_2)_3COOH$), a monocarboxylic acid.
2. Caproic acid: It is hexanoic acid ($CH_3(CH_2)_4COOH$), a monocarboxylic acid.
3. Glutaric acid: It is pentanedioic acid ($HOOC(CH_2)_3COOH$). It contains two $-COOH$ groups, making it a dicarboxylic acid.
4. Butyric acid: It is butanoic acid ($CH_3(CH_2)_2COOH$), a monocarboxylic acid.
Step 4: Final Answer:
Glutaric acid is the dicarboxylic acid among the given options.