Uploaded February 2026 | Updated September 2026, 1 week ago

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Let's tackle the first calculus question on a National Taiwan University transfer entrance exam. We have f and g being differential functions and d/dx(f(x))=-g(x) and d/dx(xg(x))=xf(x) and we'll show that f and g have "interlacing zeroes". Try the rest of the exam here
https://www.lib.ntu.edu.tw/exam/undergra/98/98018.pdf

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