(b) Sketch the circuit diagram of the differentiaor cireuit and derive an expression for the output of the circuit at time t = 0. Assume the input voltage to the circuit is Vin = 2cos3000nt, R 100k2, and C = 0.02F. (c) A triangular input voltage v (1) with the following characteristics is applied to the differentiator circuit in 4 (b) above: v (1) = 0 at 1 = 0V, v (1) = 4V at t= 2ms, v (1) = 0V at i = 4ms, v (1) = -4V at t 6ms, and v () 0V at / = 8ms. Sketch the [7 marks] %3D %3D %3D input voltage and derive an expression for the input voltage signal. Find the output signal voltage signal from the differentiator and sketch the signal. [7 marks]