about Gate-source voltage stabilizer

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How to get the (10.1) equation in the attachment?

Thanks.
 

Take the small signal equations for Iin, which is the input branch current and the Iout, which is the output branch current

Iin = gm1* Vgs1 = gm1*Iout*R1 ---- (1)

But Iout = gm2*Vgs2 = gm2*[Vdd - (R2*Iin) - (Iout*R1)] ------- (2)

Replace (1) in the equation,

Therefore, Iout/Vdd = 1/R1(1+gm1*R2)

Please do the simple math from the above equations 1 and 2 to get the solution. I hope it helps
 

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