-6k^6div3k^3 eching

$$- 6 k ^ { 6 } \div 3 k ^ { 3 }$$

Baholash

$$-2k^{9}$$

Yechim qadamlari

-2k^{6} ni olish uchun -6k^{6} ni 3 ga bo‘ling.

$$-2k^{6}k^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 3 ni qo‘shib, 9 ni oling.

$$-2k^{9}$$

k ga nisbatan hosilani topish

$$-18k^{8}$$

Derivativ ifodasidan foydalanish qadamlari

-2k^{6} ni olish uchun -6k^{6} ni 3 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-2k^{6}k^{3})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 3 ni qo‘shib, 9 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-2k^{9})$$

ax^{n} hosilasi – nax^{n-1}.

$$9\left(-2\right)k^{9-1}$$

9 ni -2 marotabaga ko'paytirish.

$$-18k^{9-1}$$

9 dan 1 ni ayirish.

$$-18k^{8}$$