{z}^frac{1{4}}{left(z/right)}^-frac{1{2}} eching

$${ z }^{ \frac{ 1 }{ 4 } } { \left( \frac{ z }{ } \right) }^{ - \frac{ 1 }{ 2 } }$$

z ga nisbatan hosilani topish

$$-\frac{1}{4z^{\frac{5}{4}}}$$

Derivativ ifodasidan foydalanish qadamlari

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z^{\frac{1}{4}}z^{-\frac{1}{2}})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. \frac{1}{4} va -\frac{1}{2} ni qo‘shib, -\frac{1}{4} ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z^{-\frac{1}{4}})$$

ax^{n} hosilasi – nax^{n-1}.

$$-\frac{1}{4}z^{-\frac{1}{4}-1}$$

-\frac{1}{4} dan 1 ni ayirish.

$$-\frac{1}{4}z^{-\frac{5}{4}}$$

Baholash

$$\frac{1}{\sqrt[4]{z}}$$