x^3+2xx^3+8 eching

$$x ^ { 3 } + 2 x x ^ { 3 } + 8$$

x ga nisbatan hosilani topish

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

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}.

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

3 dan 1 ni ayirish.

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

1 dan 1 ni ayirish.

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

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

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

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

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

Baholash

$$2x^{4}+x^{3}+8$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$x^{3}+2x^{4}+8$$