Question

sin(xy)=x+y, what is dy/dx?

Answer 1

sin(xy) = x
(y + x*dy/dx)*cos(xy) = 1
y*cos(xy) + x*dy/dx*cos(xy) = 1
x*dy/dx*cos(xy) = 1 - y*cos(xy)
dy/dx = (1 - y*cos(xy)) / (x*cos(xy))

dy/dx = 1/[x*cos(xy)] - y/x = (1/x)(sec(xy) - y)

Answer 2

bro its x+y

Answer 3

I know that. But why did you ask if you knew that answer

Answer 4

no its sinxy= x+y, not sinxy=x. you just copied it off of yahoo