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x^{4}-x+x^{2}-5x+3
0 ni olish uchun 3x^{3} va -3x^{3} ni birlashtirish.
x^{4}-6x+x^{2}+3
-6x ni olish uchun -x va -5x ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}-x+x^{2}-5x+3)
0 ni olish uchun 3x^{3} va -3x^{3} ni birlashtirish.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}-6x+x^{2}+3)
-6x ni olish uchun -x va -5x ni birlashtirish.
4x^{4-1}-6x^{1-1}+2x^{2-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
4x^{3}-6x^{1-1}+2x^{2-1}
4 dan 1 ni ayirish.
4x^{3}-6x^{0}+2x^{2-1}
1 dan 1 ni ayirish.
4x^{3}-6x^{0}+2x^{1}
2 dan 1 ni ayirish.
4x^{3}-6x^{0}+2x
Har qanday t sharti uchun t^{1}=t.
4x^{3}-6+2x
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.