x1/2*x*x1/3 eching

$$x \frac{ 1 }{ 2 } \times x \times x \frac{ 1 }{ 3 }$$

Baholash

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

Yechim qadamlari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}\times \frac{1}{2}x\times \frac{1}{3}$$

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

$$x^{3}\times \frac{1}{2}\times \frac{1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{1}{3} ga ko‘paytiring.

$$x^{3}\times \frac{1\times 1}{2\times 3}$$

\frac{1\times 1}{2\times 3} kasridagi ko‘paytirishlarni bajaring.

$$x^{3}\times \frac{1}{6}$$

x ga nisbatan hosilani topish

$$\frac{x^{2}}{2}$$

Derivativ ifodasidan foydalanish qadamlari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times \frac{1}{2}x\times \frac{1}{3})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{1}{2}\times \frac{1}{3})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{1}{3} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{1\times 1}{2\times 3})$$

\frac{1\times 1}{2\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{1}{6})$$

ax^{n} hosilasi – nax^{n-1}.

$$3\times \frac{1}{6}x^{3-1}$$

3 ni \frac{1}{6} marotabaga ko'paytirish.

$$\frac{1}{2}x^{3-1}$$

3 dan 1 ni ayirish.

$$\frac{1}{2}x^{2}$$