(-5a^2)(a^-5)^2 eching

$$( - 5 a ^ { 2 } ) ( a ^ { - 5 } ) ^ { 2 }$$

Baholash

$$-\frac{5}{a^{8}}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -5 va 2 ni ko‘paytirib, -10 ni oling.

$$-5a^{2}a^{-10}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -10 ni qo‘shib, -8 ni oling.

$$-5a^{-8}$$

a ga nisbatan hosilani topish

$$\frac{40}{a^{9}}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -5 va 2 ni ko‘paytirib, -10 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-5a^{2}a^{-10})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -10 ni qo‘shib, -8 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-5a^{-8})$$

ax^{n} hosilasi – nax^{n-1}.

$$-8\left(-5\right)a^{-8-1}$$

-8 ni -5 marotabaga ko'paytirish.

$$40a^{-8-1}$$

-8 dan 1 ni ayirish.

$$40a^{-9}$$