-b^3*b^4 eching

$$- b ^ { 3 } \times b ^ { 4 }$$

b ga nisbatan hosilani topish

$$-7b^{6}$$

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.

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

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

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

Qisqartirish.

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

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

$$4\left(-1\right)b^{3+3}-3b^{4+2}$$

Qisqartirish.

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

O'xshash hadlarni birlashtirish.

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

-4 ni -3 ga qo'shish.

$$-7b^{6}$$

Baholash

$$-b^{7}$$

Yechim qadamlari

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

$$-b^{7}$$