f(x)=3x^3-9x^2+8x+1 eching

$$f ( x ) = 3 x ^ { 3 } - 9 x ^ { 2 } + 8 x + 1$$

x ga nisbatan hosilani topish

$$\left(3x-4\right)\left(3x-2\right)$$

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}.

$$3\times 3x^{3-1}+2\left(-9\right)x^{2-1}+8x^{1-1}$$

3 ni 3 marotabaga ko'paytirish.

$$9x^{3-1}+2\left(-9\right)x^{2-1}+8x^{1-1}$$

3 dan 1 ni ayirish.

$$9x^{2}+2\left(-9\right)x^{2-1}+8x^{1-1}$$

2 ni -9 marotabaga ko'paytirish.

$$9x^{2}-18x^{2-1}+8x^{1-1}$$

2 dan 1 ni ayirish.

$$9x^{2}-18x^{1}+8x^{1-1}$$

1 dan 1 ni ayirish.

$$9x^{2}-18x^{1}+8x^{0}$$

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

$$9x^{2}-18x+8x^{0}$$

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

$$9x^{2}-18x+8\times 1$$

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

$$9x^{2}-18x+8$$

Baholash

$$3x^{3}-9x^{2}+8x+1$$