Question

A current source that produces acurrent equal to i(t)=5+(t^2)u(t) is applied to the input of a differentiator.Determine the output current of the differentiator.

Answer 1

for t<0 i(t)=5;
for t>=0 i(t)=5+t^2;
the function has a discontinuity at t=0,
however differentiator output =di/dt =2t.

Answer 2

for t>0
and 0 otherwise