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\frac{x}{3}+\frac{1}{18}\times 5x
\frac{1}{18}\times 5x ni olish uchun \frac{5x}{9} va -\frac{5x}{18} ni birlashtirish.
\frac{x}{3}+\frac{5}{18}x
\frac{5}{18} hosil qilish uchun \frac{1}{18} va 5 ni ko'paytirish.
\frac{11}{18}x
\frac{11}{18}x ni olish uchun \frac{x}{3} va \frac{5}{18}x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{3}+\frac{1}{18}\times 5x)
\frac{1}{18}\times 5x ni olish uchun \frac{5x}{9} va -\frac{5x}{18} ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{3}+\frac{5}{18}x)
\frac{5}{18} hosil qilish uchun \frac{1}{18} va 5 ni ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11}{18}x)
\frac{11}{18}x ni olish uchun \frac{x}{3} va \frac{5}{18}x ni birlashtirish.
\frac{11}{18}x^{1-1}
ax^{n} hosilasi – nax^{n-1}.
\frac{11}{18}x^{0}
1 dan 1 ni ayirish.
\frac{11}{18}\times 1
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
\frac{11}{18}
Har qanday t sharti uchun t\times 1=t va 1t=t.