(x*x^frac{3{4}})^frac{1{2}} eching

$$( x \times x ^ { \frac { 3 } { 4 } } ) ^ { \frac { 1 } { 2 } }$$

x ga nisbatan hosilani topish

$$\frac{7}{8\sqrt[8]{x}}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va \frac{3}{4} ni qo‘shib, \frac{7}{4} ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{\frac{7}{4}}\right)^{\frac{1}{2}})$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{7}{4} va \frac{1}{2} ni ko‘paytirib, \frac{7}{8} ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{\frac{7}{8}})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{7}{8}x^{\frac{7}{8}-1}$$

\frac{7}{8} dan 1 ni ayirish.

$$\frac{7}{8}x^{-\frac{1}{8}}$$

Baholash

$$x^{\frac{7}{8}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va \frac{3}{4} ni qo‘shib, \frac{7}{4} ni oling.

$$\left(x^{\frac{7}{4}}\right)^{\frac{1}{2}}$$