g(x)=2x^4+9x^3-9x-3 eching

$$g ( x ) = 2 x ^ { 4 } + 9 x ^ { 3 } - 9 x - 3$$

x ga nisbatan hosilani topish

$$8x^{3}+27x^{2}-9$$

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}.

$$4\times 2x^{4-1}+3\times 9x^{3-1}-9x^{1-1}$$

4 ni 2 marotabaga ko'paytirish.

$$8x^{4-1}+3\times 9x^{3-1}-9x^{1-1}$$

4 dan 1 ni ayirish.

$$8x^{3}+3\times 9x^{3-1}-9x^{1-1}$$

3 ni 9 marotabaga ko'paytirish.

$$8x^{3}+27x^{3-1}-9x^{1-1}$$

3 dan 1 ni ayirish.

$$8x^{3}+27x^{2}-9x^{1-1}$$

1 dan 1 ni ayirish.

$$8x^{3}+27x^{2}-9x^{0}$$

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

$$8x^{3}+27x^{2}-9$$

Baholash

$$2x^{4}+9x^{3}-9x-3$$