mid-15c., educaten, "bring up (children), to train," from Latin educatus, past participle of educare "bring up, rear, educate" (source also of Italian educare, Spanish educar, French éduquer), which is a frequentative of or otherwise related to educere "bring out, lead forth," from ex- "out" (see ex-) + ducere "to lead," from PIE root *deuk- "to lead." Meaning "provide schooling" is first attested 1580s. Related: Educated; educating.
According to "Century Dictionary," educere, of a child, is "usually with reference to bodily nurture or support, while educare refers more frequently to the mind," and, "There is no authority for the common statement that the primary sense of education is to 'draw out or unfold the powers of the mind.'"
word-forming element making adjectives from verbs, meaning "pertaining to, tending to; doing, serving to do," in some cases from Old French -if, but usually directly from Latin adjectival suffix -ivus (source also of Italian and Spanish -ivo). In some words borrowed from French at an early date it has been reduced to -y (as in hasty, tardy).
<a href="https://www.etymonline.com/word/educative">Etymology of educative by etymonline</a>
Harper, D. (n.d.). Etymology of educative. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/educative