How do you analyze and design a multistage amplifier?

Multistage amplifier design involves cascading stages to achieve desired gain, bandwidth, and impedance matching. Analysis considers: Individual stage gains multiply for overall gain (in dB, they add), Bandwidth typically decreases as stages are added (for n identical stages, BW = BW1 * sqrt(2^(1/n) - 1)), Input impedance determined by first stage, output impedance by last stage, and Interstage coupling (DC coupling preserves low-frequency response, AC coupling blocks DC but adds poles). Design proceeds from output to input, considering load requirements first, then working back to source requirements.