fayllar.orgma'muriyatiga murojaat qiling
𝑧 = 𝑥^3 sin 𝑦 + 𝑦^4 funksiyaning xususiy hosilasi topilsin
Yechish:
𝜕𝑧/𝜕𝑥 =3𝑥^2 siny ;
𝜕𝑧/𝜕𝑦 =𝑥^2 cosy+ 4 𝑦^3
Ishlash uchun misollar:
1. 𝑧 = 2^(𝑥𝑦)+ sin 2𝑥𝑦
2. 𝑧 = 𝑥^𝑦+arctg(𝑥 + 𝑦)
3. 𝑧 = 𝑒^(𝑥𝑦)+ ln (x+ln y)
4. 𝑧 = 𝑡𝑔 𝑦/x