it looks beautifully concave but yeah I'm practice you would look at second derivatives eigen values of the Hessian if they're all they're all negative then you have a nice concave shape there's no no magic recipe short of all those tricks that they teach in the convex optimization classes so we covered this we covered this we've covered the log is a monotonic transformation we can just work with the log instead of the original thing and then these are the two plots and again I just generated those plots and so we know in this case