A periodic continuous$-$time signal $x(t)$ is given below.

a$)$ Determine the DC component $($i$.$e$.a_0)$ of the signal $x(t).$

$[10$ Marks$]$

b$)$ Determine the Fourier Series coefficients $($i$.$e$.b_k)$ of $\frac{dx(t)}{dt}($First sketch the signal $\frac{dx(t)}{dt}$ and then evaluate $b_k).$ Express $b_k$ with sinusoidal functions after the expansion.

$[25$ Marks$]$

Supplementary:

$sin(x)=\frac{e^{jx}-e^{-jx}}{2j},cos(x)=\frac{e^{jx}+e^{-jx}}{2}$