(-20x^8):5x^7 eching

$$( - 20 x ^ { 8 } ) : 5 x ^ { 7 }$$

Baholash

$$-4x^{15}$$

Yechim qadamlari

-4x^{8} ni olish uchun -20x^{8} ni 5 ga bo‘ling.

$$-4x^{8}x^{7}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 7 ni qo‘shib, 15 ni oling.

$$-4x^{15}$$

x ga nisbatan hosilani topish

$$-60x^{14}$$

Derivativ ifodasidan foydalanish qadamlari

-4x^{8} ni olish uchun -20x^{8} ni 5 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{8}x^{7})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 7 ni qo‘shib, 15 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{15})$$

ax^{n} hosilasi – nax^{n-1}.

$$15\left(-4\right)x^{15-1}$$

15 ni -4 marotabaga ko'paytirish.

$$-60x^{15-1}$$

15 dan 1 ni ayirish.

$$-60x^{14}$$