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

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

x ga nisbatan hosilani topish

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

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}.

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

3 dan 1 ni ayirish.

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

2 ni -3 marotabaga ko'paytirish.

$$3x^{2}-6x^{2-1}+2x^{1-1}$$

2 dan 1 ni ayirish.

$$3x^{2}-6x^{1}+2x^{1-1}$$

1 dan 1 ni ayirish.

$$3x^{2}-6x^{1}+2x^{0}$$

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

$$3x^{2}-6x+2x^{0}$$

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

$$3x^{2}-6x+2\times 1$$

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

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

Baholash

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