2x^2*6xdiv3x^4 eching

$$2 x ^ { 2 } \times 6 x \div 3 x ^ { 4 }$$

Baholash

$$4x^{7}$$

Yechim qadamlari

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

$$\frac{2x^{3}\times 6}{3}x^{4}$$

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$\frac{12x^{3}}{3}x^{4}$$

4x^{3} ni olish uchun 12x^{3} ni 3 ga bo‘ling.

$$4x^{3}x^{4}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$4x^{7}$$

x ga nisbatan hosilani topish

$$28x^{6}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x^{3}\times 6}{3}x^{4})$$

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12x^{3}}{3}x^{4})$$

4x^{3} ni olish uchun 12x^{3} ni 3 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{3}x^{4})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{7})$$

ax^{n} hosilasi – nax^{n-1}.

$$7\times 4x^{7-1}$$

7 ni 4 marotabaga ko'paytirish.

$$28x^{7-1}$$

7 dan 1 ni ayirish.

$$28x^{6}$$