Two important limits (the first is "0/0" and the second is "1INF");
Bounded function multiplied by infinitesimal = infinitesimal;
Equivalent infinitesimal;
2. Boundedness theorems on closed intervals, especially the mean value theorem, are very important;
3. Limit exists differentiable relation, multiple choice questions
4. The geometric meaning of the derivative should be known, and the tangent equation and the normal equation can be solved;
5. Can find a higher derivative;
6.Robida must be measured, and the equivalent infinitesimal is faster and more accurate;
7. Three mean value theorems, especially Rolle's mean value theorem, will prove simple problems (often the last one is related to him);
8. Taylor exhibition use, remember five commonly used exhibitions:
exp(),sin,cos,ln( 1+x),( 1+x)^(alpha)
Use it to find the limit or higher derivative;
9. Will use the derivative of the function to judge the monotonicity of the function, and use it to prove the simple inequality (compulsory);
10. The extreme value will be found according to the first derivative, and the type of extreme point will be judged according to the second derivative (don't forget the point where the derivative does not exist);
1 1. It will judge the concavity and convexity according to the second derivative and find the inflection point (don't forget the point where the derivative doesn't exist).
12. Find asymptotes (vertical, horizontal and oblique)
That's all!
Good luck!