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2. a) Show that if f (x) has a finite jump discontinuity at x = a, then IF (f' (x)) = AF(w) + B[f(at) -

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2. a) Show that if f (x) has a finite jump discontinuity at x = a, then IF (f' (x)) = AF(w) + B[f(at) - f(a )]e-iwa in which F stands for the Fourier Transform, and A and B are constants. Also, find A and B. b) Find the Fourier Transform of f'(x) if x if0

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