由基本导数公式可得到如下基本微分公式 (1)dc=0(c为常数) (2)d(x)=oxa-dx (3)d(a)=an de=e dx (4)d(logar)=xIna d(n x)=-dx (5)dsin x=cos xdx d cos x==sin xdx d tan x= sec xdx d cot x=-csc xdx d(secx)=sec x tan xdx d(cscx) cSc x cot xd. (6) d(arcsinx) 、c、 d(arccos)= dx d(arctan) d 1+x d(arccot)= dx +X由基本导数公式可得到如下基本微分公式 (1) (2) (3) (4) dc = 0 （c为常数） d(x ) x dx −1 =    a a a x x x d( ) = ln d e e x x x d = d x x a x a d ln 1 d(log ) = x x x d 1 d(ln ) = (5) dsin x = cos xdx dcos x = −sin xdx d tan x sec xdx 2 = d cot x csc xdx 2 = − (6) d(secx) = sec x tan xdx d(cscx) = −csc x cot xdx x x x d 1 1 d(arcsin ) 2 − = x x x d 1 1 d(arccos ) 2 − = − x x x d 1 1 d(arctan ) 2 + = x x x d 1 1 d(arccot ) 2 + = −