Найти производную y+x=sinxy

Question

Найти производную
y+x=sinxy

Answer 1

y+x=sinxy
y'=cosxy*(xy)'
y'=cosxy*(x'y+xy')
y'=cosxy*(y+xy')
y'=ycosxy+xy'cosxy
y'-xy'cosxy=ycosxy
y'(1-xcosxy)=ycosxy
y'=ycosxy/(1-xcosxy)