设f(x)=e^3x-1×cos(2πx+π/3),求导数
问题描述:
设f(x)=e^3x-1×cos(2πx+π/3),求导数
答
f'(x)=3e^3x+2πsin(2πx+π/3)
答
f(x)=e^(3x-1)×cos(2πx+π/3),
f'(x)=e^(3x-1)*(3x-1)'cos(2πx+π/3)-e^(3x-1)*sin(2πx+π/3)*(2πx+π/3)'
=3e^(3x-1)*cos(2πx+π/3)-2π*e^(3x-1)*sin(2πx+π/3)
=e^(3x-1)*[3cos(2πx+π/3)-2π*sin(2πx+π/3)]