4a:6a^2= eching

$$4 a : 6 a ^ { 2 } =$$

Baholash

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

Yechim qadamlari

\frac{2}{3}a ni olish uchun 4a ni 6 ga bo‘ling.

$$\frac{2}{3}aa^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

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

a ga nisbatan hosilani topish

$$2a^{2}$$

Derivativ ifodasidan foydalanish qadamlari

\frac{2}{3}a ni olish uchun 4a ni 6 ga bo‘ling.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

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

ax^{n} hosilasi – nax^{n-1}.

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

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

$$2a^{3-1}$$

3 dan 1 ni ayirish.

$$2a^{2}$$