Question

Derivative of ((-1/6)e^(-3t)+(1/6))*u(t), where u(t) is the unit step function? #signals and systems

Answer 1

(e^-3t)/2 + dirac(t)/6

Answer 2

just do the first part, seperately, and you know that the derivative of the unit step is just the dirac delta function. since integral of dirac delta = u(t)

Answer 3

oh wait, nevermind. i misread the bounds

Answer 4

should just be e^-3t/2 then since when you derive 1/6 you get 0.

Answer 5

haha okay thanks, just wanted to confirm :D