3x^2*6x^4 eching

$$3 x ^ { 2 } \cdot 6 x ^ { 4 }$$

Baholash

$$18x^{6}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$3x^{6}\times 6$$

18 hosil qilish uchun 3 va 6 ni ko'paytirish.

$$18x^{6}$$

x ga nisbatan hosilani topish

$$108x^{5}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{6}\times 6)$$

18 hosil qilish uchun 3 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(18x^{6})$$

ax^{n} hosilasi – nax^{n-1}.

$$6\times 18x^{6-1}$$

6 ni 18 marotabaga ko'paytirish.

$$108x^{6-1}$$

6 dan 1 ni ayirish.

$$108x^{5}$$