7y^2*4y^3= eching

$$7 y ^ { 2 } \cdot 4 y ^ { 3 } =$$

Baholash

$$28y^{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$7y^{5}\times 4$$

28 hosil qilish uchun 7 va 4 ni ko'paytirish.

$$28y^{5}$$

y ga nisbatan hosilani topish

$$140y^{4}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(7y^{5}\times 4)$$

28 hosil qilish uchun 7 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(28y^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times 28y^{5-1}$$

5 ni 28 marotabaga ko'paytirish.

$$140y^{5-1}$$

5 dan 1 ni ayirish.

$$140y^{4}$$