2/3x:1/6x^3 eching

$$\frac { 2 } { 3 } x : \frac { 1 } { 6 } x ^ { 3 }$$

Baholash

$$4x^{4}$$

Yechim qadamlari

\frac{2}{3}x ni \frac{1}{6} ga bo'lish \frac{2}{3}x ga k'paytirish \frac{1}{6} ga qaytarish.

$$\frac{2}{3}x\times 6x^{3}$$

4 hosil qilish uchun \frac{2}{3} va 6 ni ko'paytirish.

$$4xx^{3}$$

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

$$4x^{4}$$

x ga nisbatan hosilani topish

$$16x^{3}$$

Derivativ ifodasidan foydalanish qadamlari

\frac{2}{3}x ni \frac{1}{6} ga bo'lish \frac{2}{3}x ga k'paytirish \frac{1}{6} ga qaytarish.

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

4 hosil qilish uchun \frac{2}{3} va 6 ni ko'paytirish.

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

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

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

ax^{n} hosilasi – nax^{n-1}.

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

4 ni 4 marotabaga ko'paytirish.

$$16x^{4-1}$$

4 dan 1 ni ayirish.

$$16x^{3}$$