x^3*(-x^4) eching

$$x ^ { 3 } \cdot ( - x ^ { 4 } )$$

x ga nisbatan hosilani topish

$$-7x^{6}$$

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.

$$x^{3}\frac{\mathrm{d}}{\mathrm{d}x}(-x^{4})-x^{4}\frac{\mathrm{d}}{\mathrm{d}x}(x^{3})$$

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

$$x^{3}\times 4\left(-1\right)x^{4-1}-x^{4}\times 3x^{3-1}$$

Qisqartirish.

$$x^{3}\left(-4\right)x^{3}-x^{4}\times 3x^{2}$$

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

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

Qisqartirish.

$$-4x^{6}-3x^{6}$$

O'xshash hadlarni birlashtirish.

$$\left(-4-3\right)x^{6}$$

-4 ni -3 ga qo'shish.

$$-7x^{6}$$

Baholash

$$-x^{7}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$x^{7}\left(-1\right)$$