(a) The system requires memory and so it is dynamic.
(b) The output depends on present and past inputs. Hence, it is causal.
(c) The output due to the delayed input is same as the delayed output. The system is time invariant.
(d) The weighted sum of the output is the same as output due to the weighted sum of the input. The system is linear.
(e) If the input is bounded, the output is also bounded. The system is stable.

\[
y(t)=\frac{d}{d t} x(t-4)
\]