2x*{x}^frac{1{2}} eching

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

x ga nisbatan hosilani topish

$$3\sqrt{x}$$

Derivativ ifodasidan foydalanish qadamlari

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

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

ax^{n} hosilasi – nax^{n-1}.

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

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

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

\frac{3}{2} dan 1 ni ayirish.

$$3\sqrt{x}$$

Baholash

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

Yechim qadamlari

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

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