(5y^4)(3y) eching

$$( 5 y ^ { 4 } ) ( 3 y )$$

Baholash

$$15y^{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 1 ni qo‘shib, 5 ni oling.

$$5y^{5}\times 3$$

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$15y^{5}$$

y ga nisbatan hosilani topish

$$75y^{4}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 1 ni qo‘shib, 5 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(5y^{5}\times 3)$$

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(15y^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times 15y^{5-1}$$

5 ni 15 marotabaga ko'paytirish.

$$75y^{5-1}$$

5 dan 1 ni ayirish.

$$75y^{4}$$