x^3-7x^2+7x-15 eching

$${ x }^{ 3 } -7 { x }^{ 2 } +7x-15$$

x ga nisbatan hosilani topish

$$3x^{2}-14x+7$$

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}.

$$3x^{3-1}+2\left(-7\right)x^{2-1}+7x^{1-1}$$

3 dan 1 ni ayirish.

$$3x^{2}+2\left(-7\right)x^{2-1}+7x^{1-1}$$

2 ni -7 marotabaga ko'paytirish.

$$3x^{2}-14x^{2-1}+7x^{1-1}$$

2 dan 1 ni ayirish.

$$3x^{2}-14x^{1}+7x^{1-1}$$

1 dan 1 ni ayirish.

$$3x^{2}-14x^{1}+7x^{0}$$

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

$$3x^{2}-14x+7x^{0}$$

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

$$3x^{2}-14x+7\times 1$$

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

$$3x^{2}-14x+7$$

Baholash

$$x^{3}-7x^{2}+7x-15$$