In the video, a person is seen writing on a piece of paper with a blue pen. The person is wearing a black jacket and a watch on their left wrist. The paper has several mathematical equations written on it, including a function f(x) = x^2 + 1. The person is writing down the derivative of this function, which is f'(x) = 2x + 1. The person's hand is visible as they write down the derivative.