f(x)=cos(√3x+∮),
则f’(x) =-√3sin(√3x+∮),
f(x)+f’(x) =cos(√3x+∮) -√3sin(√3x+∮)
=2[1/2 cos(√3x+∮)- √3/2sin(√3x+∮)]
=2 cos(√3x+∮+π/3)
f(x)+f’(x)是奇函数,则需∮+π/3=kπ+π/2,k∈Z.
∮=kπ+π/6,k∈Z.
设函数f(x)=cos(√3x+∮)(0
f(x)=cos(√3x+∮),
则f’(x) =-√3sin(√3x+∮),
f(x)+f’(x) =cos(√3x+∮) -√3sin(√3x+∮)
=2[1/2 cos(√3x+∮)- √3/2sin(√3x+∮)]
=2 cos(√3x+∮+π/3)
f(x)+f’(x)是奇函数,则需∮+π/3=kπ+π/2,k∈Z.
∮=kπ+π/6,k∈Z.