y^5*y^4 eching

$$y ^ { 5 } \cdot y ^ { 4 }$$

y ga nisbatan hosilani topish

$$9y^{8}$$

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.

$$y^{5}\frac{\mathrm{d}}{\mathrm{d}y}(y^{4})+y^{4}\frac{\mathrm{d}}{\mathrm{d}y}(y^{5})$$

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

$$y^{5}\times 4y^{4-1}+y^{4}\times 5y^{5-1}$$

Qisqartirish.

$$y^{5}\times 4y^{3}+y^{4}\times 5y^{4}$$

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

$$4y^{5+3}+5y^{4+4}$$

Qisqartirish.

$$4y^{8}+5y^{8}$$

O'xshash hadlarni birlashtirish.

$$\left(4+5\right)y^{8}$$

4 ni 5 ga qo'shish.

$$9y^{8}$$

Baholash

$$y^{9}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 4 ni qo‘shib, 9 ni oling.

$$y^{9}$$