(1)y = 3x²
dy = (dy/dx)dx = 6xdx
[說明：本題用的是簡單的冪函數(shù)求導(dǎo)方法]
(3)y = lnx^2 = 2×lnx
dy = (dy/dx)dx =(2/x)dx
[說明：本題用的是自然對數(shù)的求導(dǎo)方法]
(5)y = e^(-x)*cosx
dy/ = (dy/dx)dx
= [-e^(-x)*cosx + e^(-x)*(-sinx)]dx
= -[e^(-x)]×(sinx + cosx)dx
[說明：本題用的是積的求導(dǎo)方法]
(7)y = ln√(1-x³) = (½)ln(1-x³)
dy = (dy/dx)dx
= (½)[1/(1-x³)]×(-3x²)dx
= -3x²/[2(1-x³)]dx
[說明：本題用的是復(fù)合函數(shù)的求導(dǎo)方法]
(9）y = tan(x/2)
dy = (dy/dx)dx
= [1/cos²(x/2)]×(½)dx
= 1/[2cos²(x/2)]dx
或?qū)懗?= (½)sec²(x/2)dx
[說明：本題用的是復(fù)合函數(shù)的求導(dǎo)方法]