P(x)=3x^4+2x^3+4x-13? eching

$$P ( x ) = 3 x ^ { 4 } + 2 x ^ { 3 } + 4 x - 13 ?$$

x ga nisbatan hosilani topish

$$12x^{3}+6x^{2}+4$$

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}.

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

4 ni 3 marotabaga ko'paytirish.

$$12x^{4-1}+3\times 2x^{3-1}+4x^{1-1}$$

4 dan 1 ni ayirish.

$$12x^{3}+3\times 2x^{3-1}+4x^{1-1}$$

3 ni 2 marotabaga ko'paytirish.

$$12x^{3}+6x^{3-1}+4x^{1-1}$$

3 dan 1 ni ayirish.

$$12x^{3}+6x^{2}+4x^{1-1}$$

1 dan 1 ni ayirish.

$$12x^{3}+6x^{2}+4x^{0}$$

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

$$12x^{3}+6x^{2}+4\times 1$$

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

$$12x^{3}+6x^{2}+4$$

Baholash

$$3x^{4}+2x^{3}+4x-13$$