Is there an easy explanation of implicit differentiation? Where do I start to solve y" given
1) x+xy=y=2
2) x^3-3xy+y^3
Please help!!
http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/implicitdiffdirectory/ImplicitDiff.html
Take the first one (read the examples in the link above)
x + xy + y =2
take the derivative of all with respect to x.
1 + y + xy'+y'=0
solve this in terms of y'
y'= - (y+1)/(x+1)
How do I find the point (x,y) in the first quadrant that lies on the curve x^3+y^3=3xy and has the largest possible y-coordinate