1. The problem statement, all variables and given/known data For a curve given by a^(2/3)=abs(x)^(2/3)+abs(y)^(2/3). Find a differentiable parameterization, all singular points, and determine their type. 2. Relevant equations (Just common definations). 3. The attempt at a solution Ok my thought was to find an arclength parameterization; however, the algebra is killing me. So far these are my steps, help would be greatly appreachited if you see a faster way. abs(x)^2/3 + abs(y)^2/3=a^2/3 => 1+abs(y^(2/3)/x^(2/3))=(a^(2/3))/(abs(x^(2/3))=> [abs(y^(2/3)/x^(2/3))+1]^(3/2)=abs(a/x) And then I get stuck. I have tried other methods...but they aren't much nicer. Any algebra hints tips would be great...(I can't believe I have forgotten how to do these).