c^-8*c^12 eching

$$c ^ { - 8 } \cdot c ^ { 12 }$$

c ga nisbatan hosilani topish

$$4c^{3}$$

Koʻpaytma uchun derivativ qoidasidan foydalanish qadamlari

Har qanday ikki differensial funksiya uchun, ikki funksiya koʻpaytmasining hosilasi birinchi funksiya marotabasi, ikkinchi plyus hosilasi ikkinchi funksiya marotabasi birinchining hosilasidir.

$$c^{-8}\frac{\mathrm{d}}{\mathrm{d}c}(c^{12})+c^{12}\frac{\mathrm{d}}{\mathrm{d}c}(c^{-8})$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$c^{-8}\times 12c^{12-1}+c^{12}\left(-8\right)c^{-8-1}$$

Qisqartirish.

$$c^{-8}\times 12c^{11}+c^{12}\left(-8\right)c^{-9}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$12c^{-8+11}-8c^{12-9}$$

Qisqartirish.

$$12c^{3}-8c^{3}$$

Baholash

$$c^{4}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -8 va 12 ni qo‘shib, 4 ni oling.

$$c^{4}$$