75y^3175y^2 eching

$$75 y ^ { 3 } 175 y ^ { 2 }$$

Baholash

$$13125y^{5}$$

Yechim qadamlari

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

$$75y^{5}\times 175$$

13125 hosil qilish uchun 75 va 175 ni ko'paytirish.

$$13125y^{5}$$

y ga nisbatan hosilani topish

$$65625y^{4}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(75y^{5}\times 175)$$

13125 hosil qilish uchun 75 va 175 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(13125y^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times 13125y^{5-1}$$

5 ni 13125 marotabaga ko'paytirish.

$$65625y^{5-1}$$

5 dan 1 ni ayirish.

$$65625y^{4}$$