गोधाया ढ्रक्

Operational rule vidhi

The affix ढ्रक् comes in the sense of a descendant after the word गोधा.

Word by word (padaccheda)

Left context गोधायाः pañcamī · ekavacanaSubstitute / term ढ्रक् prathamā · ekavacana

Left context Pañcamī (5th case): "after X", the operation applies to what follows (1.1.67 तस्मादित्युत्तरस्य). Also used for limits and sources.
Substitute / term Prathamā (1st case): in operational rules, the substitute or the thing introduced; in definitions, the term or its referent.

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Full reading

गोधायाः ढ्रक्

Pāṇini leaves out words that carry over from earlier sūtras. Expand to see the rule as a reader actually understands it.

Commentary

The affix ढ्रक् comes in the sense of a descendant after the word गोधा।
Thus गोधा + ढ्रक् = गौधेरः ॥ Of the affix 'dhrak', the letter ढ् is replaced by एय् 7.1.2, क् causes Vriddhi 7.2.118 and makes the udatta accent fall on the final 4.1.165. Thus the real affix is एय्र, but the य् is elided by 6.1.66 and so the affix that is actually added is एर ॥

This word गोधा occurs in the Subhradi class 4.1.123, also, thus it takes the affix 'dhak' as well. Thus गौधेयः ॥

Śrīśa Chandra Vasu, The Ashtadhyayi of Panini (1897), via ashtadhyayi.com.