3x^4*4x^4 eching

$$3 x ^ { 4 } \cdot 4 x ^ { 4 }$$

Baholash

$$12x^{8}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 4 ni qo‘shib, 8 ni oling.

$$3x^{8}\times 4$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$12x^{8}$$

x ga nisbatan hosilani topish

$$96x^{7}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 4 ni qo‘shib, 8 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{8}\times 4)$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{8})$$

ax^{n} hosilasi – nax^{n-1}.

$$8\times 12x^{8-1}$$

8 ni 12 marotabaga ko'paytirish.

$$96x^{8-1}$$

8 dan 1 ni ayirish.

$$96x^{7}$$