a^3*a^10/a^-2 eching

$$\frac { a ^ { 3 } \times a ^ { 10 } } { a ^ { - 2 } }$$

Baholash

$$a^{15}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 10 ni qo‘shib, 13 ni oling.

$$\frac{a^{13}}{a^{-2}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 13 dan -2 ni ayirib, 15 ni oling.

$$a^{15}$$

a ga nisbatan hosilani topish

$$15a^{14}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 10 ni qo‘shib, 13 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{13}}{a^{-2}})$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 13 dan -2 ni ayirib, 15 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{15})$$

ax^{n} hosilasi – nax^{n-1}.

$$15a^{15-1}$$

15 dan 1 ni ayirish.

$$15a^{14}$$