Question

sin(xy)=2x+5

Answer 1

solve for dy/dx

Answer 2

sin(xy) = 2x + 5
cos(xy) * (y + x*dy/dx) = 2
ycos(xy) + xcos(xy)dy/dx = 2
xcos(xy)dy/dx = 2 - ycos(xy)
dy/dx = [2 - ycos(xy)] / [xcos(xy)]
dy/dx = 2 / [xcos(xy)] - ycos(xy) / [xcos(xy)]
dy/dx = 2sec(xy)/x - y/x

Hope that helps :)