(64a^24)^-frac{1{6}} eching

$$( 64 a ^ { 24 } ) ^ { - \frac { 1 } { 6 } }$$

Baholash

$$\frac{1}{2a^{4}}$$

Yechim qadamlari

\left(64a^{24}\right)^{-\frac{1}{6}} ni kengaytirish.

$$64^{-\frac{1}{6}}\left(a^{24}\right)^{-\frac{1}{6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 24 va -\frac{1}{6} ni ko‘paytirib, -4 ni oling.

$$64^{-\frac{1}{6}}a^{-4}$$

-\frac{1}{6} daraja ko‘rsatkichini 64 ga hisoblang va \frac{1}{2} ni qiymatni oling.

$$\frac{1}{2}a^{-4}$$

a ga nisbatan hosilani topish

$$-\frac{2}{a^{5}}$$

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.

$$-\frac{1}{6}\times \left(64a^{24}\right)^{-\frac{1}{6}-1}\frac{\mathrm{d}}{\mathrm{d}a}(64a^{24})$$

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

$$-\frac{1}{6}\times \left(64a^{24}\right)^{-\frac{7}{6}}\times 24\times 64a^{24-1}$$

Qisqartirish.

$$-256a^{23}\times \left(64a^{24}\right)^{-\frac{7}{6}}$$