
1.y=c(c为常数) y'源谈=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=arccosx y'=-1/散凯√1-x^2
11.y=arctanx y'=1/冲裂唤1+x^2
12.y=arccotx y'=-1/1+x^2
有御旅公式的,(v^n)\'=nv^(n-1)
(ln v)\'=v\'/v
(e^v)\'=e^v*v\'
(sin v)\'=cos v*v\'
(cos v)\'=-sin v*v\'
(tan v)\'=(sec v)^2*v\'
(cot v)\'=-(csc v)^2*v\'
(sec v)\启拆老'=sec v*tan v*v\'
(csc v)\'=-csc v*cot v*v\'
(arcsin v)\'=v\'/(1-v^2)^(1/2)
(arccos v)\'=-v\'/(1-v^2)^(1/悄升2)
(arctan v)\'=v\'/(1+v^2)
(arccot v)\'=-v\'/(1+v^2)
(arcsec v)\'=v\'/(v*(v^2-1)^(1/2))
(arccsc v)\'=-v\'/(v*(v^2-1)^(1/2))
其中“v”是未知数,“u”是常数,带入就行了……
找大学课本吧