x^-5*x^-3= eching

$$x ^ { - 5 } \cdot x ^ { - 3 } =$$

x ga nisbatan hosilani topish

$$-\frac{8}{x^{9}}$$

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.

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

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

$$x^{-5}\left(-3\right)x^{-3-1}+x^{-3}\left(-5\right)x^{-5-1}$$

Qisqartirish.

$$x^{-5}\left(-3\right)x^{-4}+x^{-3}\left(-5\right)x^{-6}$$

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

$$-3x^{-5-4}-5x^{-3-6}$$

Qisqartirish.

$$-3x^{-9}-5x^{-9}$$

Baholash

$$\frac{1}{x^{8}}$$

Yechim qadamlari

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

$$x^{-8}$$