Asosiy tarkibga oʻtish
x ga nisbatan hosilani topish
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-\left(x^{2}+1\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+1)
Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.
-\left(x^{2}+1\right)^{-2}\times 2x^{2-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
-2x^{1}\left(x^{2}+1\right)^{-2}
Qisqartirish.
-2x\left(x^{2}+1\right)^{-2}
Har qanday t sharti uchun t^{1}=t.