2a^3*5a^2 eching

$$2 a ^ { 3 } \times 5 a ^ { 2 }$$

Baholash

$$10a^{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$2a^{5}\times 5$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$10a^{5}$$

a ga nisbatan hosilani topish

$$50a^{4}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2a^{5}\times 5)$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(10a^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times 10a^{5-1}$$

5 ni 10 marotabaga ko'paytirish.

$$50a^{5-1}$$

5 dan 1 ni ayirish.

$$50a^{4}$$