4x^-1*4x^-4 eching

$$4 x ^ { - 1 } \cdot 4 x ^ { - 4 }$$

Baholash

$$\frac{16}{x^{5}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -1 va -4 ni qo‘shib, -5 ni oling.

$$4x^{-5}\times 4$$

16 hosil qilish uchun 4 va 4 ni ko'paytirish.

$$16x^{-5}$$

x ga nisbatan hosilani topish

$$-\frac{80}{x^{6}}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -1 va -4 ni qo‘shib, -5 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{-5}\times 4)$$

16 hosil qilish uchun 4 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x^{-5})$$

ax^{n} hosilasi – nax^{n-1}.

$$-5\times 16x^{-5-1}$$

-5 ni 16 marotabaga ko'paytirish.

$$-80x^{-5-1}$$

-5 dan 1 ni ayirish.

$$-80x^{-6}$$