Question

if sin(xy)=x, then find dy/dx

Answer 1

use implicit differentiation

derivative is:
ycos(xy) + x(dy/dx)cos(xy) = 1

from there isolate dy/dx and find the answer

Answer 2

http://winplot-files-volume-of-revolution.wikispaces.com/file/view/2008AB16.wmv/152764233/2008AB16.wmv

Answer 3

sin(xy)=x, then find dy/dx
cos(xy)[xy '+y]=1
[xy '+y]=1/cos(xy)=sec(xy)
xy '=sec(xy)-y
y '=dydx=(sec(xy)-y)/x ans...