x^2*-x^2 eching

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

x ga nisbatan hosilani topish

$$-4x^{3}$$

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.

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

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

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

Qisqartirish.

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

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

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

Qisqartirish.

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

O'xshash hadlarni birlashtirish.

$$\left(-2-2\right)x^{3}$$

-2 ni -2 ga qo'shish.

$$-4x^{3}$$

Baholash

$$-x^{4}$$

Yechim qadamlari

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

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