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

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

x ga nisbatan hosilani topish

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

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}.

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

3 dan 1 ni ayirish.

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

2 ni 3 marotabaga ko'paytirish.

$$3x^{2}+6x^{2-1}+4x^{1-1}$$

2 dan 1 ni ayirish.

$$3x^{2}+6x^{1}+4x^{1-1}$$

1 dan 1 ni ayirish.

$$3x^{2}+6x^{1}+4x^{0}$$

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

$$3x^{2}+6x+4x^{0}$$

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

$$3x^{2}+6x+4\times 1$$

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

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

Baholash

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