10-x^2-5x^4-2x eching

$$10- { x }^{ 2 } -5 { x }^{ 4 } -2x$$

x ga nisbatan hosilani topish

$$-20x^{3}-2x-2$$

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}.

$$2\left(-1\right)x^{2-1}+4\left(-5\right)x^{4-1}-2x^{1-1}$$

2 ni -1 marotabaga ko'paytirish.

$$-2x^{2-1}+4\left(-5\right)x^{4-1}-2x^{1-1}$$

2 dan 1 ni ayirish.

$$-2x^{1}+4\left(-5\right)x^{4-1}-2x^{1-1}$$

4 ni -5 marotabaga ko'paytirish.

$$-2x^{1}-20x^{4-1}-2x^{1-1}$$

4 dan 1 ni ayirish.

$$-2x^{1}-20x^{3}-2x^{1-1}$$

1 dan 1 ni ayirish.

$$-2x^{1}-20x^{3}-2x^{0}$$

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

$$-2x-20x^{3}-2x^{0}$$

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

$$-2x-20x^{3}-2$$

Baholash

$$10-2x-x^{2}-5x^{4}$$