(16*a^-4)^-frac{3{4}} eching

$$( 16 \cdot a ^ { - 4 } ) ^ { - \frac { 3 } { 4 } }$$

Baholash

$$\frac{\left(|a|\right)^{3}}{8}$$

Yechim qadamlari

\left(16a^{-4}\right)^{-\frac{3}{4}} ni kengaytirish.

$$16^{-\frac{3}{4}}\left(a^{-4}\right)^{-\frac{3}{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -4 va -\frac{3}{4} ni ko‘paytirib, 3 ni oling.

$$16^{-\frac{3}{4}}a^{3}$$

-\frac{3}{4} daraja ko‘rsatkichini 16 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{1}{8}a^{3}$$

a ga nisbatan hosilani topish

$$\frac{3a|a|}{8}$$

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.

$$-\frac{3}{4}\times \left(16a^{-4}\right)^{-\frac{3}{4}-1}\frac{\mathrm{d}}{\mathrm{d}a}(16a^{-4})$$

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

$$-\frac{3}{4}\times \left(16a^{-4}\right)^{-\frac{7}{4}}\left(-4\right)\times 16a^{-4-1}$$

Qisqartirish.

$$48a^{-5}\times \left(16a^{-4}\right)^{-\frac{7}{4}}$$