A differentiable non constant even function $x(t)$ has a derivative $y(t)$, and their respective Fourier Transforms are $X(w)$ and $Y(w)$ . Which of the following statements is TRUE?
1. $X(w)$ and $Y(w)$ are both real.
2. $X(w)$ is real and $Y(w)$ is imaginary.
3. $X(w)$ and $Y(w)$ are both imaginary.
4. $X(w)$ is imaginary and $Y(w)$ is real.