How can I apply fourier tranform to this EQ
x(t)= d/dt e^-|t|
Thank you for help
Here is an approach that requires minimal thinking and effort:
Theorem: $\displaystyle FT\left[ \frac{df}{dt}\right] = i \omega FT\left[ f(t) \right]$.
Theorem: $\displaystyle FT\left[ e^{-\alpha |t|} \right] = \frac{2 \alpha}{\alpha^2 + \omega^2}$.
Other approaches are possible.