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\frac{6x^{4}\times \frac{2}{3}\times 3x^{2}\times 2x^{2}}{3}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.
\frac{6x^{6}\times \frac{2}{3}\times 3\times 2x^{2}}{3}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.
\frac{6x^{8}\times \frac{2}{3}\times 3\times 2}{3}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 2 ni qo‘shib, 8 ni oling.
6x^{8}\times \frac{2}{3}\times 2
3 va 3 ni qisqartiring.
4x^{8}\times 2
4 hosil qilish uchun 6 va \frac{2}{3} ni ko'paytirish.
8x^{8}
8 hosil qilish uchun 4 va 2 ni ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6x^{4}\times \frac{2}{3}\times 3x^{2}\times 2x^{2}}{3})
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6x^{6}\times \frac{2}{3}\times 3\times 2x^{2}}{3})
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6x^{8}\times \frac{2}{3}\times 3\times 2}{3})
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 2 ni qo‘shib, 8 ni oling.
\frac{\mathrm{d}}{\mathrm{d}x}(6x^{8}\times \frac{2}{3}\times 2)
3 va 3 ni qisqartiring.
\frac{\mathrm{d}}{\mathrm{d}x}(4x^{8}\times 2)
4 hosil qilish uchun 6 va \frac{2}{3} ni ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(8x^{8})
8 hosil qilish uchun 4 va 2 ni ko'paytirish.
8\times 8x^{8-1}
ax^{n} hosilasi – nax^{n-1}.
64x^{8-1}
8 ni 8 marotabaga ko'paytirish.
64x^{7}
8 dan 1 ni ayirish.