[(x^32)^frac{1{3}}]^frac{1{5}} eching

$$[ ( x ^ { 32 } ) ^ { \frac { 1 } { 3 } } ] ^ { \frac { 1 } { 5 } }$$

x ga nisbatan hosilani topish

$$\frac{32x^{\frac{17}{15}}}{15}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 32 va \frac{1}{3} ni ko‘paytirib, \frac{32}{3} ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{\frac{32}{3}}\right)^{\frac{1}{5}})$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{32}{3} va \frac{1}{5} ni ko‘paytirib, \frac{32}{15} ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{\frac{32}{15}})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{32}{15}x^{\frac{32}{15}-1}$$

\frac{32}{15} dan 1 ni ayirish.

$$\frac{32}{15}x^{\frac{17}{15}}$$

Baholash

$$x^{\frac{32}{15}}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 32 va \frac{1}{3} ni ko‘paytirib, \frac{32}{3} ni oling.

$$\left(x^{\frac{32}{3}}\right)^{\frac{1}{5}}$$