Uploaded June 2026 | Updated September 2026, 2 weeks ago
Question from the calculus textbook by James Stewart. If x=ln(sec(theta)+tan(theta)), show that sec(theta)=cosh(x).
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Question from the calculus textbook by James Stewart. If x=ln(sec(theta)+tan(theta)), show that sec(theta)=cosh(x).
π Shop my math t-shirts & hoodies: π amzn.to/3qBeuw6
π Support this channel and get more content patreon.com/blackpenredpen
#blackpenredpen #calculus







![This calculus proof is only for math majors (National Taiwan University entrance exam)
Heres a fun calculus proof from the National Taiwan University entrance exam for transfer students. We will show that If f(0)=0 and abs(f(x)) is less than or equal to abs(f(x)), then f(x)=0 on [0, 1/2]. The key to solving this problem is to apply the Mean Value Theorem and the Extreme Value Theorem. Try the test https://exam.lib.ntu.edu.tw/sites/default/files/exam/undergra/103/18_001-103.pdf
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#blackpenredpen #calculus This calculus proof is only for math majors (National Taiwan University entrance exam)](https://i.ytimg.com/vi/s3ysYpb2Zqw/mqdefault.jpg)


