Tafsir refers to exegesis, usually of the Quran. An author of a tafsir is a mufassir. A Quranic tafsir attempts to provide elucidation, explanation, interpretation, context or commentary for clear understanding and conviction of God's will in Islam.
Mir Sayyid Ali writing a Tafsir on the Quran, self-portrait 1555-1556.
Exegesis is a critical explanation or interpretation of a text. The term is traditionally applied to the interpretation of Biblical works. In modern usage, exegesis can involve critical interpretations of virtually any text, including not just religious texts but also philosophy, literature, or virtually any other genre of writing. The phrase Biblical exegesis can be used to distinguish studies of the Bible from other critical textual explanations.
A Bible open to the Book of Isaiah