(12y*y^3)(y^5) eching

$$( 12 y \cdot y ^ { 3 } ) ( y ^ { 5 } )$$

Baholash

$$12y^{9}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$12y^{4}y^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 5 ni qo‘shib, 9 ni oling.

$$12y^{9}$$

y ga nisbatan hosilani topish

$$108y^{8}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(12y^{4}y^{5})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 5 ni qo‘shib, 9 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(12y^{9})$$

ax^{n} hosilasi – nax^{n-1}.

$$9\times 12y^{9-1}$$

9 ni 12 marotabaga ko'paytirish.

$$108y^{9-1}$$

9 dan 1 ni ayirish.

$$108y^{8}$$