x^3+1-4x^2+9x= eching

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

x ga nisbatan hosilani topish

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

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}.

$$3x^{3-1}+2\left(-4\right)x^{2-1}+9x^{1-1}$$

3 dan 1 ni ayirish.

$$3x^{2}+2\left(-4\right)x^{2-1}+9x^{1-1}$$

2 ni -4 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

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

1 dan 1 ni ayirish.

$$3x^{2}-8x^{1}+9x^{0}$$

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

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

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

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

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

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

Baholash

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