2z^-5div4z^3 eching

$$2 z ^ { - 5 } \div 4 z ^ { 3 }$$

Baholash

$$\frac{1}{2z^{2}}$$

Yechim qadamlari

\frac{1}{2}z^{-5} ni olish uchun 2z^{-5} ni 4 ga bo‘ling.

$$\frac{1}{2}z^{-5}z^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -5 va 3 ni qo‘shib, -2 ni oling.

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

z ga nisbatan hosilani topish

$$-\frac{1}{z^{3}}$$

Derivativ ifodasidan foydalanish qadamlari

\frac{1}{2}z^{-5} ni olish uchun 2z^{-5} ni 4 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}z}(\frac{1}{2}z^{-5}z^{3})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -5 va 3 ni qo‘shib, -2 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}z}(\frac{1}{2}z^{-2})$$

ax^{n} hosilasi – nax^{n-1}.

$$-2\times \frac{1}{2}z^{-2-1}$$

-2 ni \frac{1}{2} marotabaga ko'paytirish.

$$-z^{-2-1}$$

-2 dan 1 ni ayirish.

$$-z^{-3}$$