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Signals & SystemsFourier Transform

Differentiation in time corresponds in the Fourier domain to?

  • ADivision by jω
  • BMultiplication by jω
  • CTime reversal only
  • DMultiplication by t
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Correct Answer: B. Multiplication by jω
Explanation: If x(t) ↔ X(jω), then dx(t)/dt ↔ jωX(jω), under standard conditions.
Reference: Standard signals and systems: fourier transform
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