Nyuton-Raphson usuli quyidagi formuladan foydalanadi: xn+1=xn−f(xn) f'(xn) Shuning uchun tenglamani funksiyaga o'zgartirishimiz kerak. Bu barcha hadlarni bir tomonga ko'chirish orqali amalga oshiriladi: f(x) = sinx−x2 Va biz hosila kerak: f'(x) = cosx−2x Eng oson yo'l - kalkulyatordan foydalanish. f'(x) ni Y1 va f'(x) ni Y2 ga kiriting. Keyin buni amalga oshiradigan juda qisqa dasturni kiriting: A−Y1(A) Y2(A) → A Sizga boshlang'ich qiymat kerak, x1. Savol musbat ildiz uchun bo'lgani uchun, biz sinx) ning maksimal qiymati 1 ga teng ekanligini bilamiz x2 = π va x2 = 1 x1. Shunday qilib,
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