3c^4*4c^-6*c^-7= eching

$$3 c ^ { 4 } \times 4 c ^ { - 6 } \times c ^ { - 7 } =$$

Baholash

$$\frac{12}{c^{9}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va -6 ni qo‘shib, -2 ni oling.

$$3c^{-2}\times 4c^{-7}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va -7 ni qo‘shib, -9 ni oling.

$$3c^{-9}\times 4$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$12c^{-9}$$

c ga nisbatan hosilani topish

$$-\frac{108}{c^{10}}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va -6 ni qo‘shib, -2 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}c}(3c^{-2}\times 4c^{-7})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va -7 ni qo‘shib, -9 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}c}(3c^{-9}\times 4)$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}c}(12c^{-9})$$

ax^{n} hosilasi – nax^{n-1}.

$$-9\times 12c^{-9-1}$$

-9 ni 12 marotabaga ko'paytirish.

$$-108c^{-9-1}$$

-9 dan 1 ni ayirish.

$$-108c^{-10}$$