x^3-6x^2+4x-9 eching

$$x ^ { 3 } - 6 x ^ { 2 } + 4 x - 9$$

x ga nisbatan hosilani topish

$$3x^{2}-12x+4$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$3x^{3-1}+2\left(-6\right)x^{2-1}+4x^{1-1}$$

3 dan 1 ni ayirish.

$$3x^{2}+2\left(-6\right)x^{2-1}+4x^{1-1}$$

2 ni -6 marotabaga ko'paytirish.

$$3x^{2}-12x^{2-1}+4x^{1-1}$$

2 dan 1 ni ayirish.

$$3x^{2}-12x^{1}+4x^{1-1}$$

1 dan 1 ni ayirish.

$$3x^{2}-12x^{1}+4x^{0}$$

Har qanday t sharti uchun t^{1}=t.

$$3x^{2}-12x+4x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$3x^{2}-12x+4\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$3x^{2}-12x+4$$

Baholash

$$x^{3}-6x^{2}+4x-9$$