1, y=c(c is a constant) y'=0.

2、y=x^n y'=nx^(n- 1)

3、y=a^x y'=a^xlna？ y=e^x y'=e^x

4、y=logax y'=logae/x？ y=lnx y'= 1/x

5、y=sinx y'=cosx

6、y=cosx y'=-sinx

7、y=tanx y'= 1/cos^2x

8、y=cotx y'=- 1/sin^2x

9、y = arcsinx y'= 1/√ 1-x^2

10、y = arc cosx y'=- 1/√ 1-x^2

1 1、y = arctanx y'= 1/ 1+x^2

12、y = arccotx y'=- 1/ 1+x^2

Several methods of derivation in mathematics;

Definition method: use the definition of derivative to find the derivative.

Formula method: find the derivative according to the formula given in the textbook.

Implicit function method: use implicit function to derive, and an example of implicit function derivation is given in the figure.

Logarithmic method: derivative by logarithm.

Compound function method: use compound function to get derivative.

Derivative algorithm is four algorithms to guide the addition, subtraction, multiplication and division of numbers, and it is also an important content to master.