यदि y =(sin x)^((sin x)^(.^(.^(.^(oo))))...

यदि `y =(sin x)^((sin x)^(.^(.^(.^(oo)))))` है, तब सिद्ध कीजिए कि `(dy)/(dx) =(y^(2) cos x)/(1-y log _(e) sinx).`

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