Multiply freq response by w ?

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multiply freq response by "w" ??

hi all,
i am not able to proced to this problem
lets say there is a signal x(t), which has freq domain representatiojn of X(w)
lets say signal is periodic with T = 1
now in freq domian X(w) is multiplied with "w" for 0<w<2

then what would be corresponding change in x(t)??
i tried to do inverse ifft, but that's giving me ans = 0.

how should i go about it? not exact solution but in general procedure?

Thanks
 


You receive the derivative of the function. Just write out the complex Fourier transform and see what a derivative with respect to t does to the terms in the integral.