(-c^3)(-c^5) eching

$$( - c ^ { 3 } ) ( - c ^ { 5 } )$$

Baholash

$$c^{8}$$

Yechim qadamlari

1 hosil qilish uchun -1 va -1 ni ko'paytirish.

$$c^{3}c^{5}$$

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

$$c^{8}$$

c ga nisbatan hosilani topish

$$8c^{7}$$

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.

$$-c^{3}\frac{\mathrm{d}}{\mathrm{d}c}(-c^{5})-c^{5}\frac{\mathrm{d}}{\mathrm{d}c}(-c^{3})$$

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

$$-c^{3}\times 5\left(-1\right)c^{5-1}-c^{5}\times 3\left(-1\right)c^{3-1}$$

Qisqartirish.

$$-c^{3}\left(-5\right)c^{4}-c^{5}\left(-3\right)c^{2}$$

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

$$-5\left(-1\right)c^{3+4}-\left(-3c^{5+2}\right)$$

Qisqartirish.

$$5c^{7}+3c^{7}$$