Need help for a problem in Razavi's book

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fengluan

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In Razavi's book<Design of Analog CMOS Intergrated Circuits>.The problem of 9.24 shows a opamp with two pair of input stage,a fast path in parallel wiht a slow path. What's the characteristics of this circuits? and Show me some papers about it ?
 

Here's the referrence answer:
 

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