2x^2*3x^8 eching

$$2 { x }^{ 2 } \times 3 { x }^{ 8 }$$

Baholash

$$6x^{10}$$

Yechim qadamlari

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

$$2x^{10}\times 3$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$6x^{10}$$

x ga nisbatan hosilani topish

$$60x^{9}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{10}\times 3)$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{10})$$

ax^{n} hosilasi – nax^{n-1}.

$$10\times 6x^{10-1}$$

10 ni 6 marotabaga ko'paytirish.

$$60x^{10-1}$$

10 dan 1 ni ayirish.

$$60x^{9}$$