Step 1: Understanding trivial relation.
A trivial relation is one where every element is related to itself, that is, for any set \( A \), the relation \( R = \{ (a, a) : a \in A \} \) is called the trivial relation.
Step 2: Conclusion.
Thus, a trivial relation is a relation where each element of the set is only related to itself.
If \( y = \sqrt{e^x} \), \( x > 0 \), then \( \frac{dy}{dx} = \underline{\hspace{2cm}} \)