设f(x)=e^3x-1×cos(2πx+π/3),求导数

来源:学生作业帮助网 编辑:六六作业网 时间:2025/02/03 10:41:25
设f(x)=e^3x-1×cos(2πx+π/3),求导数设f(x)=e^3x-1×cos(2πx+π/3),求导数设f(x)=e^3x-1×cos(2πx+π/3),求导数f(x)=e^(3x-1)

设f(x)=e^3x-1×cos(2πx+π/3),求导数
设f(x)=e^3x-1×cos(2πx+π/3),求导数

设f(x)=e^3x-1×cos(2πx+π/3),求导数
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)]

f'(x)=3e^3x+2πsin(2πx+π/3)