Ok holiday’s over, had enough fun with the different standards of foreign talents, time to get back to your studies!
As a maths-related blog, many of you here have been deprived of a question containing that most iconic of mathematical symbols: the sexy and alluring integral symbol with her … errm … 10-2-10 curvaceous figure.
Hence, Miss Loi shall not deprive you further …
Differentiate ln(cos 2x) with respect to x. Hence, or otherwise, evaluate
Please, please note the word Hence in the question! The words “or otherwise” are usually placed there just for show, unless you like to do things the long way. Hence Miss Loi terms these Hence Questions.
If that’s not clear enough, the Hence is meant to remind you to use information from your answer/workings in an earlier part to solve the next part. Sounds easy but sometimes it’s not so straightforward and you’ll usually need to think of one more step before attaining enlightenment.
Differentiation and Integration are a match made in heaven. So unless they are having a tiff, there’s a good chance you’ll see them together in the same question. Miss Loi has observed that many students got so enchanted by the sexy integral sign that they totally forgot about their differentiation techniques, and vice versa for those with more … errmmm … ‘differential’ tastes.
So whenever you spot the word Hence, remember to 看前面 (watch your front again)!!!