- #1
MrJamesta
- 8
- 0
Homework Statement
Find the points on the curve xy^2+x^2y=16 when the tangent line is horizontal
The attempt at a solution
I found the derivative of the curve
-(y(2x+y))/(x(x+2y))
then I found what values of y make the derivative equal 0
y=0,-2x
Then I went to plug into the original curve to find x and that is where I got lost. I do not know how to isolate x in this case.
Find the points on the curve xy^2+x^2y=16 when the tangent line is horizontal
The attempt at a solution
I found the derivative of the curve
-(y(2x+y))/(x(x+2y))
then I found what values of y make the derivative equal 0
y=0,-2x
Then I went to plug into the original curve to find x and that is where I got lost. I do not know how to isolate x in this case.