5x^2*3x^8 eching

$$5 x ^ { 2 } \cdot 3 x ^ { 8 }$$

Baholash

$$15x^{10}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 8 ni qo‘shib, 10 ni oling.

$$5x^{10}\times 3$$

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$15x^{10}$$

x ga nisbatan hosilani topish

$$150x^{9}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 8 ni qo‘shib, 10 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{10}\times 3)$$

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15x^{10})$$

ax^{n} hosilasi – nax^{n-1}.

$$10\times 15x^{10-1}$$

10 ni 15 marotabaga ko'paytirish.

$$150x^{10-1}$$

10 dan 1 ni ayirish.

$$150x^{9}$$