Very ComplexExcept t=0t=0t=0, u(t)+u(−t)=1u(t) + u(-t) = 1u(t)+u(−t)=1 and using FT of a Constant 2πδ(w)=U(jw)+U(−jw)2\pi\delta(w) = U(jw) + U(-jw)2πδ(w)=U(jw)+U(−jw)Let U(jw)=kδ(w)+V(jw)U(jw)= k\delta(w) + V(jw)U(jw)=kδ(w)+V(jw) thenodd part of 2πδ(w)=2kδ(w)+V(jw)+V(−jw)2\pi\delta(w) = 2k\delta(w) + V(jw) + V(-jw)2πδ(w)=2kδ(w)+V(jw)+V(−jw)∴ k=πk=\pik=π and V(jw)V(jw)V(jw) is odd functionby CTFT Differentiation and δ(t)=tdtu(t)\delta(t) = \frac{t}{dt}u(t)δ(t)=dttu(t)