The circuit shown in Figure P9.36(a) is obtained by interchanging the capacitor and resistor in an integrator circuit. (a) Show that the circuit acts as a differentiator, that is,
$$
v_o(t)=-R C \frac{d v_i(t)}{d t}
$$
(b) Sketch the output voltage for the circuit, $v_o(t)$, as a function of time if the input voltage, $v_i(t)$, is given in Figure P9.36(b); assume $R=10 \mathrm{k} \Omega, C=0.22 \mu \mathrm{F}$, and an ideal op amp.
Figure P9.36 can't copy