Given L=i*e^(-t/RC)

where i,R,C are contants and t is time.

Find the rate of change with respect to t.

Please explain in details how all happens, I will be obliged if you do so :)

Dear Student,

Rate of change w.r.t to t of any quatity is the differenciation of that quantity w.r.t time. Here in the given equation, I think you might be asking about rate of change of inductance (L) w.r.t time i.e. dL/dt. For this you will have to differentiate L w.r.t time.
dL/dt = -{i*e^(-t/RC)}/RC.

Thanks.