Show that the response to a unit step function (h(t)left(F_{0}=1 ight.) in Fig. 4.10(b)) is related to the impulse response function (g(t)), Eq. (4.25), as

Show that the response to a unit step function \(h(t)\left(F_{0}=1\right.\) in Fig. 4.10(b)) is related to the impulse response function \(g(t)\), Eq. (4.25), as follows:

\[g(t)=\frac{d h(t)}{d t}\]

Figure 4.10(b):-

Equation 4.25:-

F(t) Fo (b) t