x^-6*x^8 eching

$$x ^ { - 6 } \cdot x ^ { 8 }$$

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.

$$x^{-6}\frac{\mathrm{d}}{\mathrm{d}x}(x^{8})+x^{8}\frac{\mathrm{d}}{\mathrm{d}x}(x^{-6})$$

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

$$x^{-6}\times 8x^{8-1}+x^{8}\left(-6\right)x^{-6-1}$$

Qisqartirish.

$$x^{-6}\times 8x^{7}+x^{8}\left(-6\right)x^{-7}$$

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

$$8x^{-6+7}-6x^{8-7}$$

Qisqartirish.

$$8x^{1}-6x^{1}$$

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

$$8x-6x$$

Baholash

$$x^{2}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -6 va 8 ni qo‘shib, 2 ni oling.

$$x^{2}$$