x^-4*x^2 eching

$${ x }^{ -4 } \times { x }^{ 2 }$$

x ga nisbatan hosilani topish

$$-\frac{2}{x^{3}}$$

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.

$$x^{-4}\frac{\mathrm{d}}{\mathrm{d}x}(x^{2})+x^{2}\frac{\mathrm{d}}{\mathrm{d}x}(x^{-4})$$

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

$$x^{-4}\times 2x^{2-1}+x^{2}\left(-4\right)x^{-4-1}$$

Qisqartirish.

$$x^{-4}\times 2x^{1}+x^{2}\left(-4\right)x^{-5}$$

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

$$2x^{-4+1}-4x^{2-5}$$

Qisqartirish.

$$2x^{-3}-4x^{-3}$$

Baholash

$$\frac{1}{x^{2}}$$

Yechim qadamlari

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

$$x^{-2}$$