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x ga nisbatan hosilani topish
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5x+11+6x+10x+15
11 olish uchun 9 va 2'ni qo'shing.
11x+11+10x+15
11x ni olish uchun 5x va 6x ni birlashtirish.
21x+11+15
21x ni olish uchun 11x va 10x ni birlashtirish.
21x+26
26 olish uchun 11 va 15'ni qo'shing.
\frac{\mathrm{d}}{\mathrm{d}x}(5x+11+6x+10x+15)
11 olish uchun 9 va 2'ni qo'shing.
\frac{\mathrm{d}}{\mathrm{d}x}(11x+11+10x+15)
11x ni olish uchun 5x va 6x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(21x+11+15)
21x ni olish uchun 11x va 10x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(21x+26)
26 olish uchun 11 va 15'ni qo'shing.
21x^{1-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
21x^{0}
1 dan 1 ni ayirish.
21\times 1
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
21
Har qanday t sharti uchun t\times 1=t va 1t=t.