8x^3-36x^2+48x-27 eching

$$8 x ^ { 3 } - 36 x ^ { 2 } + 48 x - 27$$

x ga nisbatan hosilani topish

$$24\left(x-2\right)\left(x-1\right)$$

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}.

$$3\times 8x^{3-1}+2\left(-36\right)x^{2-1}+48x^{1-1}$$

3 ni 8 marotabaga ko'paytirish.

$$24x^{3-1}+2\left(-36\right)x^{2-1}+48x^{1-1}$$

3 dan 1 ni ayirish.

$$24x^{2}+2\left(-36\right)x^{2-1}+48x^{1-1}$$

2 ni -36 marotabaga ko'paytirish.

$$24x^{2}-72x^{2-1}+48x^{1-1}$$

2 dan 1 ni ayirish.

$$24x^{2}-72x^{1}+48x^{1-1}$$

1 dan 1 ni ayirish.

$$24x^{2}-72x^{1}+48x^{0}$$

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

$$24x^{2}-72x+48x^{0}$$

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

$$24x^{2}-72x+48\times 1$$

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

$$24x^{2}-72x+48$$

Baholash

$$8x^{3}-36x^{2}+48x-27$$