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x ga nisbatan hosilani topish
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3x-9+7+2x+4
3x ni olish uchun 2x va x ni birlashtirish.
3x-2+2x+4
-2 olish uchun -9 va 7'ni qo'shing.
5x-2+4
5x ni olish uchun 3x va 2x ni birlashtirish.
5x+2
2 olish uchun -2 va 4'ni qo'shing.
\frac{\mathrm{d}}{\mathrm{d}x}(3x-9+7+2x+4)
3x ni olish uchun 2x va x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(3x-2+2x+4)
-2 olish uchun -9 va 7'ni qo'shing.
\frac{\mathrm{d}}{\mathrm{d}x}(5x-2+4)
5x ni olish uchun 3x va 2x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(5x+2)
2 olish uchun -2 va 4'ni qo'shing.
5x^{1-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning 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.