derivative property

Let $X(\omega)$ be the Fourier transform of the signal $x(t) = e^{-t^4} \cos t, \quad -\infty The value of the derivative of $X(\omega)$ at $\, \omega = 0$ is ______ (rounded off t...

The Laplace transform of $$f\left( t \right) = 2\sqrt {t/\pi } $$$$\,\,\,\,\,$$ is$$\,\,\,\,\,$$ $${s^{ - 3/2}}.$$ The Laplace transform of $$g\left( t \right) = \sqrt {1/\pi t} $$...