4x^2(-5x^6) eching

$$4 x ^ { 2 } ( - 5 x ^ { 6 } )$$

Baholash

$$-20x^{8}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 6 ni qo‘shib, 8 ni oling.

$$4x^{8}\left(-5\right)$$

-20 hosil qilish uchun 4 va -5 ni ko'paytirish.

$$-20x^{8}$$

x ga nisbatan hosilani topish

$$-160x^{7}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 6 ni qo‘shib, 8 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{8}\left(-5\right))$$

-20 hosil qilish uchun 4 va -5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-20x^{8})$$

ax^{n} hosilasi – nax^{n-1}.

$$8\left(-20\right)x^{8-1}$$

8 ni -20 marotabaga ko'paytirish.

$$-160x^{8-1}$$

8 dan 1 ni ayirish.

$$-160x^{7}$$