15x^4:3x^2= eching

$$15 x ^ { 4 } : 3 x ^ { 2 } =$$

Baholash

$$5x^{6}$$

Yechim qadamlari

5x^{4} ni olish uchun 15x^{4} ni 3 ga bo‘ling.

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

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

$$5x^{6}$$

x ga nisbatan hosilani topish

$$30x^{5}$$

Derivativ ifodasidan foydalanish qadamlari

5x^{4} ni olish uchun 15x^{4} ni 3 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{4}x^{2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{6})$$

ax^{n} hosilasi – nax^{n-1}.

$$6\times 5x^{6-1}$$

6 ni 5 marotabaga ko'paytirish.

$$30x^{6-1}$$

6 dan 1 ni ayirish.

$$30x^{5}$$