Analyze

google

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late 16th century: influenced by French analyser, from medieval Latin analysis (see analysis).

wiktionary

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Back-formation from  analysis, from French analyser, from  analyse, from Medieval Latin analysis, from Ancient Greek ἀνάλυσις(análusis, “a breaking up, a loosening, releasing”), from  ἀναλύω(analúō, “to unloose, release, set free”), from  ἀνά(aná, “on, up, above, throughout”) +  λύσις(lúsis, “a loosening”), from  λύω(lúō, “to unfasten”). 

etymonline

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analyze (v.)

c. 1600, of material things, "to dissect, take to pieces," from French analyser, from the noun analyse "analysis" (see analysis). Of literature, "examine critically to get the essence of," from 1610s; meaning in chemistry ("resolve a compound into elements") dates from 1660s. General sense of "to examine closely" dates from 1809; psychological sense is from 1909. Related: Analyzed; analyzing.