f(x)=x^3-x^2+x-4 eching

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

x ga nisbatan hosilani topish

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

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}.

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

3 dan 1 ni ayirish.

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

2 ni -1 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

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

1 dan 1 ni ayirish.

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

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

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

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

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

Baholash

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