CMI 2025 Part B Explained by a Korean Math YouTuber | CMI BSc Entrance Exam

0:00 Introduction
0:50 Problem B1
16:35 Problem B2
25:42 Problem B3
32:48 Problem B4
47:24 Problem B5
58:23 Problem B6

*A small correction: At 49:25, even if f(x) is differentiable, it does NOT necessarily mean that f'(x) is continuous. A classic example is
f(x) = x²sin(1/x) if x ≠ 0,
0 if x = 0,
which is differentiable everywhere but f'(x) is not continuous at x = 0. This does not invalidate the solution to the problem, but I think this is still worth mentioning.
Thanks to @thatdudeakshay for informing me on this.

Chennai Mathematical Institute (CMI) provides a official solution to their entrance exams, but a viewer suggested me to provide more detailed explanation on problems from Part B of BSc (undergraduate) entrance exam. In that spirit, the explanation in this video mostly follows the official solution but with additional details whenever I feel necessary, even though other methods may be possible for some problems.

Visit Chennai Mathematical Institute, where entrance exams problems are also uploaded: https://www.cmi.ac.in/

#CMI2025 #CMI #CMIPartB #CMIEntranceExam

---------------------------------------------------------------------------------

CORNERSTONES OF MATH features quality math problems to strengthen your math fundamentals and problem-solving ability. Problems are generally on high school level (with some deviations), spanning over topics such as algebra, discrete mathematics, calculus, geometry, statistics, trigonometry, etc. I hope that this channel provides some intellectual pleasure and make you appreciate the beauty of math itself.

Please consider giving a Like to this video and Subscribing to my channel, it really means a lot for the creator like me, and you will be introduced to many more interesting math videos!

Видео CMI 2025 Part B Explained by a Korean Math YouTuber | CMI BSc Entrance Exam канала Cornerstones of Math