I have a parametric function {x[t],y[t]}
. I then do
xArgMax = NArgMax[{x[t], y[t]>= 0, 0<= t <=1}, t]
{xx,yx} = {x[xArgMax], y[xArgMax]}.
I do the symmetric thing for y
, to get {xy,yy}
. The thing is that I will Plot[{x[t],y[t]}, {t,0,1}]
later on, so it seems it would be efficient to find {{xx,yx},{xy,yy}}
while gathering data points for the plot. Is there a utility for this? I know that Plot[-args-][[1]]
contains lots of coordinates for the visual representation.
I want to eventually put this all into a Manipulate
, so I need as much efficiency as possible.
EDIT: both x
and y
have the form
u[a,b][t] = [a t^b + (1-a) (1-t^.8)^(b/.8) ]^(1/b)
where they vary in parameters. Typical parameters are .5,.5
for x
and, say, .3,1
for y
. The differential approach can't help because typically the solutions will be on the boundary.