f(x)=-x^3+3x^2+3x-8 eching

$$f ( x ) = - x ^ { 3 } + 3 x ^ { 2 } + 3 x - 8$$

x ga nisbatan hosilani topish

$$3+6x-3x^{2}$$

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}.

$$3\left(-1\right)x^{3-1}+2\times 3x^{2-1}+3x^{1-1}$$

3 ni -1 marotabaga ko'paytirish.

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

3 dan 1 ni ayirish.

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

2 ni 3 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

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

1 dan 1 ni ayirish.

$$-3x^{2}+6x^{1}+3x^{0}$$

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

$$-3x^{2}+6x+3x^{0}$$

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

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

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

$$-3x^{2}+6x+3$$

Baholash

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