Suppose that f(x) is continuous [except for a jump discontinuity at and df /dx...

Suppose that f(x) is continuous [except for a jump discontinuity at

and df /dx is piecewise smooth.

*(a) Determine the Fourier sine series of df /dx in terms of the Fourier cosine series coefficients of f(x).

(b) Determine the Fourier cosine series of df /dx in terms of the Fourier sine series coefficients of f(x).