(8x)^frac{5{3}} eching

$$( 8 x ) ^ { \frac { 5 } { 3 } }$$

Baholash

$$32x^{\frac{5}{3}}$$

Yechim qadamlari

\left(8x\right)^{\frac{5}{3}} ni kengaytirish.

$$8^{\frac{5}{3}}x^{\frac{5}{3}}$$

\frac{5}{3} daraja ko‘rsatkichini 8 ga hisoblang va 32 ni qiymatni oling.

$$32x^{\frac{5}{3}}$$

x ga nisbatan hosilani topish

$$\frac{160x^{\frac{2}{3}}}{3}$$

Derivativ ifodasidan foydalanish qadamlari

\left(8x\right)^{\frac{5}{3}} ni kengaytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8^{\frac{5}{3}}x^{\frac{5}{3}})$$

\frac{5}{3} daraja ko‘rsatkichini 8 ga hisoblang va 32 ni qiymatni oling.

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

ax^{n} hosilasi – nax^{n-1}.

$$\frac{5}{3}\times 32x^{\frac{5}{3}-1}$$

\frac{5}{3} ni 32 marotabaga ko'paytirish.

$$\frac{160}{3}x^{\frac{5}{3}-1}$$

\frac{5}{3} dan 1 ni ayirish.

$$\frac{160}{3}x^{\frac{2}{3}}$$