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Cake day: March 6th, 2025

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  • I spent three weeks in 2015 and it was overall a great experience. I went to Jakarta and Yogyakarta in Java, Ubud in Bali, Labuan Bajo in Flores (as I wanted to visit Komodo National Park), and Manado in North Sulawuesi.

    It is incredibly beautiful and culturally rich and I found Indonesian people to be very friendly and open to foreigners. Bali did feel a bit touristy but still authentic and interesting. It’s useful to bring a Bahasa Indonesia phrasebook as in some places people do not speak English. I would advice to try and balance natural and cultural sites and to try and visit a few of the islands as they are very different from one another. Flights within the country are relatively cheap.





  • Is d/dx x^2 really equal to d/dx (x+x+x+…+x)? Inserting some value for x seems to break that part. Say x=5:

    d/dx 5^2=10 and

    d/dx (x+x+x+x+x)=d/dx 5x=5

    10 ≠ 5

    I understand that x^2, (x+x+x+…+x), and x*x are the same. But its equivalent to doing d/dx x*x =x as d/dx n*x=n. Again this results in 2x=x or 2=1.

    The mistake is to treat a variable as a constant and deriving in that way. Doing a sum x times means you have an unaccounted variable when you do d/dx (x+x+x+…+x), this is not 1+1+1+…+1 x times. i.e. The rate of change of one of the x is not incorporated into the derivative.