20x^8div4x^2 eching

$$20 { x }^{ 8 } \div 4 { x }^{ 2 }$$

Baholash

$$5x^{10}$$

Yechim qadamlari

5x^{8} ni olish uchun 20x^{8} ni 4 ga bo‘ling.

$$5x^{8}x^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 2 ni qo‘shib, 10 ni oling.

$$5x^{10}$$

x ga nisbatan hosilani topish

$$50x^{9}$$

Derivativ ifodasidan foydalanish qadamlari

5x^{8} ni olish uchun 20x^{8} ni 4 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{8}x^{2})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 2 ni qo‘shib, 10 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{10})$$

ax^{n} hosilasi – nax^{n-1}.

$$10\times 5x^{10-1}$$

10 ni 5 marotabaga ko'paytirish.

$$50x^{10-1}$$

10 dan 1 ni ayirish.

$$50x^{9}$$