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\frac{2}{3}x^{2}\times 6
x^{2} hosil qilish uchun x va x ni ko'paytirish.
\frac{2\times 6}{3}x^{2}
\frac{2}{3}\times 6 ni yagona kasrga aylantiring.
\frac{12}{3}x^{2}
12 hosil qilish uchun 2 va 6 ni ko'paytirish.
4x^{2}
4 ni olish uchun 12 ni 3 ga bo‘ling.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{3}x^{2}\times 6)
x^{2} hosil qilish uchun x va x ni ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2\times 6}{3}x^{2})
\frac{2}{3}\times 6 ni yagona kasrga aylantiring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{3}x^{2})
12 hosil qilish uchun 2 va 6 ni ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2})
4 ni olish uchun 12 ni 3 ga bo‘ling.
2\times 4x^{2-1}
ax^{n} hosilasi – nax^{n-1}.
8x^{2-1}
2 ni 4 marotabaga ko'paytirish.
8x^{1}
2 dan 1 ni ayirish.
8x
Har qanday t sharti uchun t^{1}=t.