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Let \( X(\omega) \) be the Fourier transform of the signal 
\( x(t) = e^{-4t}\cos(t), \; -\infty < t < \infty \). 

The value of the derivative of \( X(\omega) \) at \( \omega = 0 \) is _____________ 
(rounded off to 1 decimal place). 

  • GATE EE - 2024
  • GATE EE
  • Engineering Mathematics
  • Fourier Transform
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