n^2*n^-5 eching

$$n ^ { 2 } \cdot n ^ { - 5 }$$

n ga nisbatan hosilani topish

$$-\frac{3}{n^{4}}$$

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.

$$n^{2}\frac{\mathrm{d}}{\mathrm{d}n}(n^{-5})+n^{-5}\frac{\mathrm{d}}{\mathrm{d}n}(n^{2})$$

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

$$n^{2}\left(-5\right)n^{-5-1}+n^{-5}\times 2n^{2-1}$$

Qisqartirish.

$$n^{2}\left(-5\right)n^{-6}+n^{-5}\times 2n^{1}$$

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

$$-5n^{2-6}+2n^{-5+1}$$

Qisqartirish.

$$-5n^{-4}+2n^{-4}$$

Baholash

$$\frac{1}{n^{3}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -5 ni qo‘shib, -3 ni oling.

$$n^{-3}$$