(1-2a-4a^2-8a^3 eching

$$(1-2a-4 { a }^{ 2 } -8 { a }^{ 3 }$$

a ga nisbatan hosilani topish

$$-24a^{2}-8a-2$$

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}.

$$-2a^{1-1}+2\left(-4\right)a^{2-1}+3\left(-8\right)a^{3-1}$$

1 dan 1 ni ayirish.

$$-2a^{0}+2\left(-4\right)a^{2-1}+3\left(-8\right)a^{3-1}$$

2 ni -4 marotabaga ko'paytirish.

$$-2a^{0}-8a^{2-1}+3\left(-8\right)a^{3-1}$$

2 dan 1 ni ayirish.

$$-2a^{0}-8a^{1}+3\left(-8\right)a^{3-1}$$

2 ni -4 marotabaga ko'paytirish.

$$-2a^{0}-8a^{1}-24a^{3-1}$$

3 dan 1 ni ayirish.

$$-2a^{0}-8a^{1}-24a^{2}$$

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

$$-2a^{0}-8a-24a^{2}$$

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

$$-2-8a-24a^{2}$$

Baholash

$$1-2a-4a^{2}-8a^{3}$$