👉 In mathematics, a semidefinite function is a real-valued function f that is defined on the set of all non-negative real numbers and satisfies two conditions: 1. The function is continuous. 2. The function is differentiable. A semidefinite function is called a semideponent if it is equal to its derivative. In other words, if f(x) = f'(x), where f'(x) is the derivative of f at x, then f is a semideponent