(x^-2)^-4 eching

$$( x ^ { - 2 } ) ^ { - 4 }$$

Baholash

$$x^{8}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(x^{-2}\right)^{-4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$x^{-2\left(-4\right)}$$

-2 ni -4 marotabaga ko'paytirish.

$$x^{8}$$

x ga nisbatan hosilani topish

$$8x^{7}$$

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.

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

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

$$-4\left(x^{-2}\right)^{-5}\left(-2\right)x^{-2-1}$$

Qisqartirish.

$$8x^{-3}\left(x^{-2}\right)^{-5}$$