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x ga nisbatan hosilani topish
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5x-5+2x+8
5x ni olish uchun 3x va 2x ni birlashtirish.
7x-5+8
7x ni olish uchun 5x va 2x ni birlashtirish.
7x+3
3 olish uchun -5 va 8'ni qo'shing.
\frac{\mathrm{d}}{\mathrm{d}x}(5x-5+2x+8)
5x ni olish uchun 3x va 2x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(7x-5+8)
7x ni olish uchun 5x va 2x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(7x+3)
3 olish uchun -5 va 8'ni qo'shing.
7x^{1-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
7x^{0}
1 dan 1 ni ayirish.
7\times 1
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
7
Har qanday t sharti uchun t\times 1=t va 1t=t.