-512x^17div64x^8=? eching

$$- 512 x ^ { 17 } \div 64 x ^ { 8 } = ?$$

Baholash

$$-8x^{25}$$

Yechim qadamlari

-8x^{17} ni olish uchun -512x^{17} ni 64 ga bo‘ling.

$$-8x^{17}x^{8}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 17 va 8 ni qo‘shib, 25 ni oling.

$$-8x^{25}$$

x ga nisbatan hosilani topish

$$-200x^{24}$$

Derivativ ifodasidan foydalanish qadamlari

-8x^{17} ni olish uchun -512x^{17} ni 64 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-8x^{17}x^{8})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 17 va 8 ni qo‘shib, 25 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-8x^{25})$$

ax^{n} hosilasi – nax^{n-1}.

$$25\left(-8\right)x^{25-1}$$

25 ni -8 marotabaga ko'paytirish.

$$-200x^{25-1}$$

25 dan 1 ni ayirish.

$$-200x^{24}$$