x^3+2x+2x^2+70 eching

$$x ^ { 3 } + 2 x + 2 x ^ { 2 } + 70$$

x ga nisbatan hosilani topish

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

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}.

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

3 dan 1 ni ayirish.

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

1 dan 1 ni ayirish.

$$3x^{2}+2x^{0}+2\times 2x^{2-1}$$

1 ni 2 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

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

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

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

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

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

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

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

Baholash

$$x^{3}+2x^{2}+2x+70$$