(x^3)^3*x^3 eching

$$( x ^ { 3 } ) ^ { 3 } \times x ^ { 3 }$$

Baholash

$$x^{12}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$x^{9}x^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 3 ni qo‘shib, 12 ni oling.

$$x^{12}$$

x ga nisbatan hosilani topish

$$12x^{11}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{9}x^{3})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 3 ni qo‘shib, 12 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{12})$$

ax^{n} hosilasi – nax^{n-1}.

$$12x^{12-1}$$

12 dan 1 ni ayirish.

$$12x^{11}$$