Question

x*siny + y*sinx = 0 найти производную

Answer 1

$(x*siny + y*sinx )'_x= 0'_x\\ 1*siny+x*cosy*y'+y'*sinx+y*cosx=0\\ y'(xcosy+sinx)=-ycosx-siny\\ y'=-\dfrac{ycosx+siny}{xcosy+sinx}$