45a^550a^7 eching

$$45 a ^ { 5 } 50 a ^ { 7 }$$

Baholash

$$2250a^{12}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 7 ni qo‘shib, 12 ni oling.

$$45a^{12}\times 50$$

2250 hosil qilish uchun 45 va 50 ni ko'paytirish.

$$2250a^{12}$$

a ga nisbatan hosilani topish

$$27000a^{11}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 7 ni qo‘shib, 12 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(45a^{12}\times 50)$$

2250 hosil qilish uchun 45 va 50 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2250a^{12})$$

ax^{n} hosilasi – nax^{n-1}.

$$12\times 2250a^{12-1}$$

12 ni 2250 marotabaga ko'paytirish.

$$27000a^{12-1}$$

12 dan 1 ni ayirish.

$$27000a^{11}$$