Asosiy tarkibga oʻtish
y ga nisbatan hosilani topish
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\frac{\mathrm{d}}{\mathrm{d}y}(\cos(4y))
4 hosil qilish uchun 2 va 2 ni ko'paytirish.
\left(-\sin(4y^{1})\right)\frac{\mathrm{d}}{\mathrm{d}y}(4y^{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(-\sin(4y^{1})\right)\times 4y^{1-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
-4\sin(4y^{1})
Qisqartirish.
-4\sin(4y)
Har qanday t sharti uchun t^{1}=t.