10a^5:15a= eching

$$10 a ^ { 5 } : 15 a =$$

Baholash

$$\frac{2a^{6}}{3}$$

Yechim qadamlari

\frac{2}{3}a^{5} ni olish uchun 10a^{5} ni 15 ga bo‘ling.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 1 ni qo‘shib, 6 ni oling.

$$\frac{2}{3}a^{6}$$

a ga nisbatan hosilani topish

$$4a^{5}$$

Derivativ ifodasidan foydalanish qadamlari

\frac{2}{3}a^{5} ni olish uchun 10a^{5} ni 15 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2}{3}a^{5}a)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 1 ni qo‘shib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2}{3}a^{6})$$

ax^{n} hosilasi – nax^{n-1}.

$$6\times \frac{2}{3}a^{6-1}$$

6 ni \frac{2}{3} marotabaga ko'paytirish.

$$4a^{6-1}$$

6 dan 1 ni ayirish.

$$4a^{5}$$