1, y=c, y=0(c is a constant)
2, y=xxμ, y'=μxμ minus 1(μ is a constant and μ is not equal to 0).
3。 y=aAx，y'=aAxIna .y=eAx，y'=eAx .
4. y=logax, y' =1(A Xin) (a>0 and a =1); y=Inx，y'= 1/x .
5、y=sinx，y’= cosx .
6, y=cosx, y'= negative sinx.
7、y=tanx，y'=(secx)2= 1/(cosx)2 .
8.y=cotx, y'= negative (cscx)2= negative 1/(sinx)2.
9.y=arcsinx, y' =1√ (1minus x2).
10, y=arccosx, y'= negative1√ (1minus x2).
1 1、y=arctanx，y'= 1/( 1+x2).
12, y=arccotx, y'= negative 1/( 1+2).
13、y=shx，y'=chx .
14、y=chx，y'=shx .
15、y=thx，y'= 1/(chx)2 .
16、y=arshx，y'= 1/V( 1+x 12).
17, y=c(c is a constant) y'=0.
18, y=xny'=nxx(n minus 1).