[(x^3)^frac{1{3}}]^frac{1{5}} eching

$$[ ( x ^ { 3 } ) ^ { \frac { 1 } { 3 } } ] ^ { \frac { 1 } { 5 } }$$

Baholash

$$\sqrt[5]{x}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va \frac{1}{3} ni ko‘paytirib, 1 ni oling.

$$\left(x^{1}\right)^{\frac{1}{5}}$$

1 daraja ko‘rsatkichini x ga hisoblang va x ni qiymatni oling.

$$x^{\frac{1}{5}}$$

x ga nisbatan hosilani topish

$$\frac{1}{5x^{\frac{4}{5}}}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va \frac{1}{3} ni ko‘paytirib, 1 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{1}\right)^{\frac{1}{5}})$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 1 va \frac{1}{5} ni ko‘paytirib, \frac{1}{5} ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{\frac{1}{5}})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{1}{5}x^{\frac{1}{5}-1}$$

\frac{1}{5} dan 1 ni ayirish.

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