if the probability that you get a derivative close to 0 is small, say only 10%, then you need just 3 dimensions to get that multiplicative probability equal to

if the probability that you get a derivative close to 0 is small, say only 10%, then you need just 3 dimensions to get that multiplicative probability equal to a tenth of a percent. 3 is hardly “very large dimensionality” you can assign different numbers, but still you will find you don’t need more than say 10 dimensions for this effect to happen.