x^-6*x^-3/x^-8 eching

$$\frac { x ^ { - 6 } \cdot x ^ { - 3 } } { x ^ { - 8 } }$$

Baholash

$$\frac{1}{x}$$

Yechim qadamlari

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

$$\frac{x^{-9}}{x^{-8}}$$

x^{-8} ni x^{-9}x sifatida qaytadan yozish. Surat va maxrajdagi ikkala x^{-9} ni qisqartiring.

$$\frac{1}{x}$$

x ga nisbatan hosilani topish

$$-\frac{1}{x^{2}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{-9}}{x^{-8}})$$

x^{-8} ni x^{-9}x sifatida qaytadan yozish. Surat va maxrajdagi ikkala x^{-9} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x})$$

ax^{n} hosilasi – nax^{n-1}.

$$-x^{-1-1}$$

-1 dan 1 ni ayirish.

$$-x^{-2}$$