This is an exercise in Riehl's Categorical Homotopy Theory. Lemma 7.3.5
Give a small $V$-category $D$, and object $d \in D$, a $V$-functor $F:D \rightarrow V$, the canonical map is a $V$-natural isomorphism $$ Fd \cong V^{D}(D(d,-),F) $$
The author claims to show that this follows directly by proving they both represent the same object. I don't see this - how does this follow?