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x ga nisbatan hosilani topish
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2x+6x-3x
2x ni olish uchun \frac{1}{2}x va \frac{3}{2}x ni birlashtirish.
8x-3x
8x ni olish uchun 2x va 6x ni birlashtirish.
5x
5x ni olish uchun 8x va -3x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(2x+6x-3x)
2x ni olish uchun \frac{1}{2}x va \frac{3}{2}x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(8x-3x)
8x ni olish uchun 2x va 6x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(5x)
5x ni olish uchun 8x va -3x ni birlashtirish.
5x^{1-1}
ax^{n} hosilasi – nax^{n-1}.
5x^{0}
1 dan 1 ni ayirish.
5\times 1
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
5
Har qanday t sharti uchun t\times 1=t va 1t=t.