3x^4-4x^3-3x-1 eching

$$3 x ^ { 4 } - 4 x ^ { 3 } - 3 x - 1$$

x ga nisbatan hosilani topish

$$12x^{3}-12x^{2}-3$$

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}.

$$4\times 3x^{4-1}+3\left(-4\right)x^{3-1}-3x^{1-1}$$

4 ni 3 marotabaga ko'paytirish.

$$12x^{4-1}+3\left(-4\right)x^{3-1}-3x^{1-1}$$

4 dan 1 ni ayirish.

$$12x^{3}+3\left(-4\right)x^{3-1}-3x^{1-1}$$

3 ni -4 marotabaga ko'paytirish.

$$12x^{3}-12x^{3-1}-3x^{1-1}$$

3 dan 1 ni ayirish.

$$12x^{3}-12x^{2}-3x^{1-1}$$

1 dan 1 ni ayirish.

$$12x^{3}-12x^{2}-3x^{0}$$

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

$$12x^{3}-12x^{2}-3$$

Baholash

$$3x^{4}-4x^{3}-3x-1$$