Derivative, also called wechat quotient, is the quotient of the differential of dependent variable and the differential of independent variable, and the process of integration is equivalent to the operation of finding the derivative of function.
Derivative is an important basic concept in calculus. The limit of the quotient between the increment of the dependent variable and the increment of the independent variable when the increment of the independent variable tends to zero. When a function has a derivative, it is said to be derivative or differentiable.
Common derivative formulas of extended data;
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