((x^2)^3)^4= eching

$$( ( x ^ { 2 } ) ^ { 3 } ) ^ { 4 } =$$

Baholash

$$x^{24}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\left(x^{6}\right)^{4}$$

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

$$x^{6\times 4}$$

6 ni 4 marotabaga ko'paytirish.

$$x^{24}$$

x ga nisbatan hosilani topish

$$24x^{23}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{6}\right)^{4})$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 4 ni ko‘paytirib, 24 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{24})$$

ax^{n} hosilasi – nax^{n-1}.

$$24x^{24-1}$$

24 dan 1 ni ayirish.

$$24x^{23}$$