2x:6x^3= eching

$$2 x : 6 x ^ { 3 } =$$

Baholash

$$\frac{x^{4}}{3}$$

Yechim qadamlari

\frac{1}{3}x ni olish uchun 2x ni 6 ga bo‘ling.

$$\frac{1}{3}xx^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{1}{3}x^{4}$$

x ga nisbatan hosilani topish

$$\frac{4x^{3}}{3}$$

Derivativ ifodasidan foydalanish qadamlari

\frac{1}{3}x ni olish uchun 2x ni 6 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{3}xx^{3})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{3}x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times \frac{1}{3}x^{4-1}$$

4 ni \frac{1}{3} marotabaga ko'paytirish.

$$\frac{4}{3}x^{4-1}$$

4 dan 1 ni ayirish.

$$\frac{4}{3}x^{3}$$