nth derivative equals inverse
This video is a sequel to my video on the derivative equals to the inverse, which you can find here: • Derivative equals inverse
In this video, I find a function f with the property that the n-th derivative of f equals to the inverse of f. In other words, for which f do we have f^(n) = f^(-1)
The cool thing is that the result features the metallic numbers, which is a neat generalization of the golden ratio. There will be many videos on the metallic numbers in the weeks to come. Enjoy!
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