Laplace transform and Fourier transform

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I used the Fourier and Laplace transforms to solve a series of equations. Now I have to use the inverse of these conversions to get the wave function. My question is $$L^{-1}(\frac{d}{dk}\psi(k,s))=?\frac{d}{dk}\psi(k,t)$$ $$F({\frac{d}{dx}\psi})=-ik\psi(k)$$ $$F^{-1}({\frac{d}{dk}\psi(k)})=?-ix\psi(x)$$