Question

How is the continuous time impulse function defined in terms of the step function?

(a) u(t) = d(d(t))/dt

(b) u(t) = d(t)

(c) d(t) = du/dt

(d) d(t) = u^2(t)

The question was posed to me during an internship interview.

Origin of the question is The Impulse Function topic in portion Signals and Systems Basics of Signals and Systems

Answer 1

Correct choice is (c) d(t) = du/dt

To explain: Using the definition of the Heaviside function, we can come to this conclusion.