(2y^8)(9y^9)= eching

$$( 2 y ^ { 8 } ) ( 9 y ^ { 9 } ) =$$

Baholash

$$18y^{17}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 9 ni qo‘shib, 17 ni oling.

$$2y^{17}\times 9$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$18y^{17}$$

y ga nisbatan hosilani topish

$$306y^{16}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 9 ni qo‘shib, 17 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(2y^{17}\times 9)$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(18y^{17})$$

ax^{n} hosilasi – nax^{n-1}.

$$17\times 18y^{17-1}$$

17 ni 18 marotabaga ko'paytirish.

$$306y^{17-1}$$

17 dan 1 ni ayirish.

$$306y^{16}$$