### Misol 1: kvadrat funksiyaning ildizini toping f(x) = x^2 - 4 Funksiyani va uning hosilasini aniqlang: f(x) = x^2 - 4 f'(x) = 2x Dastlabki taxminni tanlang, masalan X0 = 1. Nyuton-Raphson formulasini qo'llang: X1 = X0 - (f(X0) / f'(X0)) = 1 - ((1^2 - 4) / (2 * 1)) = 1 + 1.5 = 2.5 Istagan aniqlikgacha jarayonni takrorlang: X2 = X1 - (f(X1) / f'(X1)) = 2.5 - ((2.5^2 - 4) / (2 * 2.5)) ≈ 2.05 Dastlabki usul tezda bir-biriga to'g'ri keladi va bir necha takrorlashlardan so'ng
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