(8x^6)^1/3= eching

$$( 8 x ^ { 6 } ) ^ { 1 / 3 } =$$

Baholash

$$2x^{2}$$

Yechim qadamlari

\left(8x^{6}\right)^{\frac{1}{3}} ni kengaytirish.

$$8^{\frac{1}{3}}\left(x^{6}\right)^{\frac{1}{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va \frac{1}{3} ni ko‘paytirib, 2 ni oling.

$$8^{\frac{1}{3}}x^{2}$$

\frac{1}{3} daraja ko‘rsatkichini 8 ga hisoblang va 2 ni qiymatni oling.

$$2x^{2}$$

x ga nisbatan hosilani topish

$$4x$$

Zanjirli qoidadan foydalanish qadamalari

Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.

$$\frac{1}{3}\times \left(8x^{6}\right)^{\frac{1}{3}-1}\frac{\mathrm{d}}{\mathrm{d}x}(8x^{6})$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$\frac{1}{3}\times \left(8x^{6}\right)^{-\frac{2}{3}}\times 6\times 8x^{6-1}$$

Qisqartirish.

$$16x^{5}\times \left(8x^{6}\right)^{-\frac{2}{3}}$$