In Lab 5 we constructed an ideal, uncompensated AC differentiator. However, as you may have observed in lab, an uncompensated differentiator has two major problems. First, the input impedance is a capacitor. Thus, the input impedance decreases as the input frequency increases, such that the impedance is very small and undesirable at high frequencies. Second, the gain equals Zfeedback/Zinput. Thus, as the input frequency increases, the gain also increases. This makes the circuit very susceptible to noise at high frequencies. Hence, we can compensate the differentiator by designing a circuit with a particular cutoff frequency, by which at that cutoff frequency the differentiator turns into an integrator. Thus, we eliminate the high frequency issues of small impedance and high noise. Design a compensated, inverting AC differentiator with a cutoff frequency of fdesign = ~4 kHz. (A resistor compensating for input bias current should NOT be included in this design.) You have been provided with the following components: 1 - 0.01 F capacitor 1 - 0.474 F capacitor 1 - 3.9 k resistor 1 - 84 resistor 1 - 741 operational amplifier