(1)d( C) = 0 (C是常數)
(2)d( xμ ) = μxμ-1dx
(3)d( ax ) = ax㏑adx
(4)d( ex ) = exdx
⑸d(㏒ax)= 1/(x*㏑a)dx
(6)d( ㏑x ) = 1/xdx
(7)d( sin(x)) = cos(x)dx
(8)d( cos(x)) = -sin(x)dx
(9)d( tan(x)) = sec2(x)dx
(10)d( cot(x)) = -csc2(x)dx
(11)d(秒(x)) =秒(x)*tan(x)dx
(12)d(CSC(x))=-CSC(x)* cot(x)dx
微分的四種算法
設f (x)和g (x)可微，則:
(1)d(f(x)+g(x))= df(x)+DG(x)
(2)d(f(x) - g(x)) = df(x) - dg(x)
(3)d(f(x)* g(x))= g(x)* df(x)+f(x)* DG(x)
(4)d(f(x)/g(x))=[g(x)* df(x)-f(x)* DG(x)]