GATE EE 2024 Set 1 — Question 33

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NAT+1 / -0MediumFourier Transform PropertiesFourier Analysis & SamplingSignals & Systems

Signals & Systems → Fourier Analysis & Sampling → Fourier Transform Properties

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Question

Let X(ω)X(\omega) be the Fourier transform of the signal x(t)=et4cost,<t<x(t) = e^{-t^4} \cos t, -\infty < t < \infty. The value of the derivative of X(ω)X(\omega) at ω=0\omega = 0 is _______ (rounded off to 1 decimal place).
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