(y^2)^6*(y)^4 eching

$$( y ^ { 2 } ) ^ { 6 } \times ( y ) ^ { 4 }$$

Baholash

$$y^{16}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 6 ni ko‘paytirib, 12 ni oling.

$$y^{12}y^{4}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 4 ni qo‘shib, 16 ni oling.

$$y^{16}$$

y ga nisbatan hosilani topish

$$16y^{15}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 6 ni ko‘paytirib, 12 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{12}y^{4})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 4 ni qo‘shib, 16 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{16})$$

ax^{n} hosilasi – nax^{n-1}.

$$16y^{16-1}$$

16 dan 1 ni ayirish.

$$16y^{15}$$