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\frac{\mathrm{d}}{\mathrm{d}x}(x^{5}-2x^{2}-6-x)
-6 olish uchun -3 dan 3 ni ayirish.
5x^{5-1}+2\left(-2\right)x^{2-1}-x^{1-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
5x^{4}+2\left(-2\right)x^{2-1}-x^{1-1}
5 dan 1 ni ayirish.
5x^{4}-4x^{2-1}-x^{1-1}
2 ni -2 marotabaga ko'paytirish.
5x^{4}-4x^{1}-x^{1-1}
2 dan 1 ni ayirish.
5x^{4}-4x^{1}-x^{0}
1 dan 1 ni ayirish.
5x^{4}-4x-x^{0}
Har qanday t sharti uchun t^{1}=t.
5x^{4}-4x-1
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
x^{5}-2x^{2}-6-x
-6 olish uchun -3 dan 3 ni ayirish.