q^9/q^-8*q^-3 eching

$$\frac { q ^ { 9 } } { q ^ { - 8 } \cdot q ^ { - 3 } }$$

Baholash

$$q^{20}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -8 va -3 ni qo‘shib, -11 ni oling.

$$\frac{q^{9}}{q^{-11}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 9 dan -11 ni ayirib, 20 ni oling.

$$q^{20}$$

q ga nisbatan hosilani topish

$$20q^{19}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -8 va -3 ni qo‘shib, -11 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}q}(\frac{q^{9}}{q^{-11}})$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 9 dan -11 ni ayirib, 20 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}q}(q^{20})$$

ax^{n} hosilasi – nax^{n-1}.

$$20q^{20-1}$$

20 dan 1 ni ayirish.

$$20q^{19}$$