1. readily perceived by the eye or the understanding; evident; obvious; apparent; plain: a manifest error.
2. Psychoanalysis. of or pertaining to conscious feelings, ideas, and impulses that contain repressed psychic material: the manifest content of a dream as opposed to the latent content that it conceals.
3. to make clear or evident to the eye or the understanding; show plainly: He manifested his approval with a hearty laugh.
4. to prove; put beyond doubt or question: The evidence manifests the guilt of the defendant.
Although it took several explanations, the calculus teacher eventually made derivatives manifest to everyone in the class.