How to calculate confidence band from mle2 object?

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What is the best way of plotting a confidence band from an mle2 object in R? The typical predict(object, interval = 'confidence') as you can use with lm objects doesn't seem to work for mle2 objects.

I have found the math to calculate confidence bands for linear models (https://stats.stackexchange.com/questions/101318/understanding-shape-and-calculation-of-confidence-bands-in-linear-regression) but I want to plot confidence bands for nonlinear relationships as well.

I would really love an R function to calculate and plot the band no matter what the deterministic function used to create the mle2 object!

A reproducible example can be found here: Error: "initial value in 'vmmin' is not finite" not in mle2() but in confint()

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