(2y)(3y)(5y^4)= eching

$$( 2 y ) ( 3 y ) ( 5 y ^ { 4 } ) =$$

Baholash

$$30y^{6}$$

Yechim qadamlari

y^{2} hosil qilish uchun y va y ni ko'paytirish.

$$2y^{2}\times 3\times 5y^{4}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$2y^{6}\times 3\times 5$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$6y^{6}\times 5$$

30 hosil qilish uchun 6 va 5 ni ko'paytirish.

$$30y^{6}$$

y ga nisbatan hosilani topish

$$180y^{5}$$

Derivativ ifodasidan foydalanish qadamlari

y^{2} hosil qilish uchun y va y ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(2y^{2}\times 3\times 5y^{4})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(2y^{6}\times 3\times 5)$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(6y^{6}\times 5)$$

30 hosil qilish uchun 6 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(30y^{6})$$

ax^{n} hosilasi – nax^{n-1}.

$$6\times 30y^{6-1}$$

6 ni 30 marotabaga ko'paytirish.

$$180y^{6-1}$$

6 dan 1 ni ayirish.

$$180y^{5}$$