x^-3x^5 eching

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

x ga nisbatan hosilani topish

$$2x$$

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.

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

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

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

Qisqartirish.

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

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

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

Qisqartirish.

$$5x^{1}-3x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$5x-3x$$

Baholash

$$x^{2}$$

Yechim qadamlari

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

$$x^{2}$$