12x^2div6x eching

$$12 x ^ { 2 } \div 6 x$$

Baholash

$$2x^{3}$$

Yechim qadamlari

2x^{2} ni olish uchun 12x^{2} ni 6 ga bo‘ling.

$$2x^{2}x$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$2x^{3}$$

x ga nisbatan hosilani topish

$$6x^{2}$$

Derivativ ifodasidan foydalanish qadamlari

2x^{2} ni olish uchun 12x^{2} ni 6 ga bo‘ling.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{3})$$

ax^{n} hosilasi – nax^{n-1}.

$$3\times 2x^{3-1}$$

3 ni 2 marotabaga ko'paytirish.

$$6x^{3-1}$$

3 dan 1 ni ayirish.

$$6x^{2}$$