Sinx function: (sinx)'=cosx
Cosine function: (cosx)'=-sinx
Tangent function: (tanx)' = seconds? x
Cotangent function: (cotx)'=-csc? x
Secx function: (secx)' = tanx secx
Cotangent function: (cscx)' =-cotx cscx
Arcsine function: (arcsinx)' =1√ (1-x 2)
arc cosx ' =- 1/√( 1-x ^ 2)
Arctangent function: (arctanx)' =1/(1+x 2)
Inverse cotangent function: (arccotx)' =-1/(1+x 2)
Derivation formula of other functions
Constant function: y=c(c is a constant) y'=0
Power function: y=x? ny'=nx^(n- 1)
Exponential function: ①y=a? xy'=a？ x？ lna ②y=e？ x？ y = e？ x
Logarithmic function: ①y=loga? x？ y ' = 1/xlna②y = lnx y ' = 1/x
Memory formula of common derivatives
Often zero, power off.
Reciprocal (direct reciprocal when E is the bottom, and 1/lna when A is the bottom).
The exponent is unchanged (especially the exponential function of natural logarithm is completely unchanged, and the general exponential function must be multiplied by lna).
Positive changes are redundant, and the rest are positive.
The tangent function is the square of the corresponding tangent function (the reciprocal of the tangent function).
Cut, multiply and cut, inverse fraction.
A study on mathematics learning methods of senior high school students;
1. Take more notes in class. There are also many formulas and formulas to memorize in mathematics, and many problems have evolved from these formulas. Like trigonometric functions, conic curves, etc.
2. Do more exercises after class. If you don't feel enough, you can buy a test paper. If you don't know, you must ask the teacher. Don't leave them there if you don't understand. It is likely to cause a backlog of problems, so that you will not learn anything in the future.
3. Communicate with students with good math scores. You can ask him questions or discuss some difficult problems, which will help * * * to make progress. Don't do too many difficult problems, or you may hurt your self-confidence.
4. Do more basic questions, because if you get all the basic questions in a test paper, you can easily get more than 100.
The choice of some fill-in-the-blank questions in the exam is skillful and can be made without brute force. For example: vector problems, and geometric figures. You can disprove the evidence by trying or bringing it in, and you will get the result soon.
6. The first, second and third questions of big questions are generally basic sub-questions, so you must do more of these questions and try to write them down. If you can, do the last of the last two big questions. If you can't, don't spend too much time.