5x^5-2x^2+5 eching

$$5 { x }^{ 5 } -2 { x }^{ 2 } +5$$

x ga nisbatan hosilani topish

$$x\left(25x^{3}-4\right)$$

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}.

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

5 ni 5 marotabaga ko'paytirish.

$$25x^{5-1}+2\left(-2\right)x^{2-1}$$

5 dan 1 ni ayirish.

$$25x^{4}+2\left(-2\right)x^{2-1}$$

2 ni -2 marotabaga ko'paytirish.

$$25x^{4}-4x^{2-1}$$

2 dan 1 ni ayirish.

$$25x^{4}-4x^{1}$$

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

$$25x^{4}-4x$$

Baholash

$$5x^{5}-2x^{2}+5$$