10x^4:5x^2 eching

$$10 x ^ { 4 } : 5 x ^ { 2 }$$

Baholash

$$2x^{6}$$

Yechim qadamlari

2x^{4} ni olish uchun 10x^{4} ni 5 ga bo‘ling.

$$2x^{4}x^{2}$$

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

$$2x^{6}$$

x ga nisbatan hosilani topish

$$12x^{5}$$

Derivativ ifodasidan foydalanish qadamlari

2x^{4} ni olish uchun 10x^{4} ni 5 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{4}x^{2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{6})$$

ax^{n} hosilasi – nax^{n-1}.

$$6\times 2x^{6-1}$$

6 ni 2 marotabaga ko'paytirish.

$$12x^{6-1}$$

6 dan 1 ni ayirish.

$$12x^{5}$$