-6k^6*3k^3 eching

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

Baholash

$$-18k^{9}$$

Yechim qadamlari

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

$$-6k^{9}\times 3$$

-18 hosil qilish uchun -6 va 3 ni ko'paytirish.

$$-18k^{9}$$

k ga nisbatan hosilani topish

$$-162k^{8}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}k}(-6k^{9}\times 3)$$

-18 hosil qilish uchun -6 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-18k^{9})$$

ax^{n} hosilasi – nax^{n-1}.

$$9\left(-18\right)k^{9-1}$$

9 ni -18 marotabaga ko'paytirish.

$$-162k^{9-1}$$

9 dan 1 ni ayirish.

$$-162k^{8}$$