求下列函数导数
问题描述:
求下列函数导数
y=cos(π/3-x)
y=e^3x
y=In(3-x)
y=cos^3(1-2x)
答
y=cos(π/3-x)
y'=-sin(π/3-x)*(-1)=sin(π/3-x)
y=e^3x
y'=e^(3x)*3=3e^(3x)
y=In(3-x)
y'=1/(3-x) *(-1)=1/(x-3)
y=cos^3(1-2x)
y'=3(cos^2(1-2x))*(-sin(1-2x))*(-2)
=6cos^2(1-2x)sin(1-2x)