The correct IUPAC name is:

3

-carboxy-

2

-pentene

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2

-ethilidene butanoic acid

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2

-ethyl-

2

-butenoic acid

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3

-ethyl-

2

-buten-

4

-oic acid

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Solution

The correct option is C $2$ -ethyl- $2$ -butenoic acid
The correct IUPAC name for the given compound is 2-ethyl-2-butenoic acid.
The longest chain includes $- C O O H$ functional group and $C = C$ double bond. Numbering is started so that $- C O O H$ group is numbered one.
An ethyl group is present on second $C$ atom.

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