The derivative of cosx^2 is the derivative process of-2xsin (x 2): y = cos (x 2), then y' =-sin (x 2) * (x 2)' =-2xsin (x 2) the derivative relationship between the original function and the inverse function (from trigonometric function to inverse trigonometric function).

Points for attention in math review are:

1, thinking: just remembering, remembering, thinking with your eyes closed, and putting a movie in your head. What students need to do most after class is to recall. This process is very important. Almost all Tsinghua students, Peking University students and top students in the college entrance examination do this. Students should arrange some time to think before going to bed every night.

2. Check: Review is the most effective review method recognized by UNESCO at present, and it is also the best way to check for missing parts. In retrospect, some will come out clearly, and some will be vague. Through these 2-3 intervals, I will never forget it. What is vague and can't be remembered at all is the missing part, which needs to be learned from scratch.

3. Look: Just look at textbooks and handouts. Not only face, but also a little. This point includes not only the key points in the course content, but also the vague "missing" points that are not remembered when recalling.

4. Writing: Write down the key points and shortcomings at any time. Be sure to sort it out in detail in your notes and mark it so that you can pay attention to this part when reviewing.

5. say: it is a retelling. Repeat what you have learned every day and what you have learned in a week every weekend. Understand is not really understand, speak clearly is really understand. If you persist for 2-3 months, your memory will be good, your generalization ability and understanding ability will be improved, your expression ability will be enhanced, and your writing ability will advance by leaps and bounds.