-6x^9*-3x^6 eching

$$- 6 x ^ { 9 } \cdot - 3 x ^ { 6 }$$

Baholash

$$18x^{15}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 6 ni qo‘shib, 15 ni oling.

$$-6x^{15}\left(-3\right)$$

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

$$18x^{15}$$

x ga nisbatan hosilani topish

$$270x^{14}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 6 ni qo‘shib, 15 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x^{15}\left(-3\right))$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(18x^{15})$$

ax^{n} hosilasi – nax^{n-1}.

$$15\times 18x^{15-1}$$

15 ni 18 marotabaga ko'paytirish.

$$270x^{15-1}$$

15 dan 1 ni ayirish.

$$270x^{14}$$