x^2x^-6 eching

$${ x }^{ 2 } { x }^{ -6 }$$

x ga nisbatan hosilani topish

$$-\frac{4}{x^{5}}$$

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.

$$x^{2}\frac{\mathrm{d}}{\mathrm{d}x}(x^{-6})+x^{-6}\frac{\mathrm{d}}{\mathrm{d}x}(x^{2})$$

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

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

Qisqartirish.

$$x^{2}\left(-6\right)x^{-7}+x^{-6}\times 2x^{1}$$

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

$$-6x^{2-7}+2x^{-6+1}$$

Qisqartirish.

$$-6x^{-5}+2x^{-5}$$

Baholash

$$\frac{1}{x^{4}}$$

Yechim qadamlari

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

$$x^{-4}$$