3x(-8x^7) eching

$$3 x ( - 8 x ^ { 7 } )$$

Baholash

$$-24x^{8}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 7 ni qo‘shib, 8 ni oling.

$$3x^{8}\left(-8\right)$$

-24 hosil qilish uchun 3 va -8 ni ko'paytirish.

$$-24x^{8}$$

x ga nisbatan hosilani topish

$$-192x^{7}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 7 ni qo‘shib, 8 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{8}\left(-8\right))$$

-24 hosil qilish uchun 3 va -8 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-24x^{8})$$

ax^{n} hosilasi – nax^{n-1}.

$$8\left(-24\right)x^{8-1}$$

8 ni -24 marotabaga ko'paytirish.

$$-192x^{8-1}$$

8 dan 1 ni ayirish.

$$-192x^{7}$$