(6c)(4c^-9)(4c^5) eching

$$( 6 c ) ( 4 c ^ { - 9 } ) ( 4 c ^ { 5 } )$$

Baholash

$$\frac{96}{c^{3}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -9 ni qo‘shib, -8 ni oling.

$$6c^{-8}\times 4\times 4c^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -8 va 5 ni qo‘shib, -3 ni oling.

$$6c^{-3}\times 4\times 4$$

24 hosil qilish uchun 6 va 4 ni ko'paytirish.

$$24c^{-3}\times 4$$

96 hosil qilish uchun 24 va 4 ni ko'paytirish.

$$96c^{-3}$$

c ga nisbatan hosilani topish

$$-\frac{288}{c^{4}}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -9 ni qo‘shib, -8 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}c}(6c^{-8}\times 4\times 4c^{5})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -8 va 5 ni qo‘shib, -3 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}c}(6c^{-3}\times 4\times 4)$$

24 hosil qilish uchun 6 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}c}(24c^{-3}\times 4)$$

96 hosil qilish uchun 24 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}c}(96c^{-3})$$

ax^{n} hosilasi – nax^{n-1}.

$$-3\times 96c^{-3-1}$$

-3 ni 96 marotabaga ko'paytirish.

$$-288c^{-3-1}$$

-3 dan 1 ni ayirish.

$$-288c^{-4}$$