protreptical

Etymology
From.

Adjective

 * 1)  Adapted to persuade; hortatory; persuasive.
 * 2) * February 16, 1668,, The Sinfulness of Infidelity (sermon preached at Whitehall)
 * The means used to this purpose are partly didactical, and partly protreptical; demonstrating the truth of the gospel, and then urging the professors of those truths to be stedfast [sic] in the faith, and to beware of infidelity.