f(x)=x^3-9x^2+15x-14 eching

$$f ( x ) = x ^ { 3 } - 9 x ^ { 2 } + 15 x - 14$$

x ga nisbatan hosilani topish

$$3\left(x-5\right)\left(x-1\right)$$

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}.

$$3x^{3-1}+2\left(-9\right)x^{2-1}+15x^{1-1}$$

3 dan 1 ni ayirish.

$$3x^{2}+2\left(-9\right)x^{2-1}+15x^{1-1}$$

2 ni -9 marotabaga ko'paytirish.

$$3x^{2}-18x^{2-1}+15x^{1-1}$$

2 dan 1 ni ayirish.

$$3x^{2}-18x^{1}+15x^{1-1}$$

1 dan 1 ni ayirish.

$$3x^{2}-18x^{1}+15x^{0}$$

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

$$3x^{2}-18x+15x^{0}$$

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

$$3x^{2}-18x+15\times 1$$

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

$$3x^{2}-18x+15$$

Baholash

$$x^{3}-9x^{2}+15x-14$$