A structural engineer is tasked with designing a cantilever beam made of two different segments to support a heavy machine component. The first segment $\backslash ((\backslash$mathrm$\{$AB$\})\backslash )$ is a thicker section with a moment of inertia $\backslash (\backslash$mathrm$\{$I$\}\_\{\backslash$mathrm$\{$AB$\}\}\backslash ),$ while the second segment $\backslash ((\backslash$mathrm$\{$BC$\})\backslash )$ is thinner, with a moment of inertia $\backslash (\backslash$mathrm$\{$I$\}\_\{\backslash$mathrm$\{$BC$\}\}\backslash ).$ The beam is securely fixed at point $\backslash ($ A $\backslash )$ and is subjected to a concentrated downward force $\backslash ($ P $\backslash )$ at its free end $($C$).$ The lengths of the segments AB and BC are L and $1,$ respectively, and the beam is made of a material with a modulus of elasticity E$.$ Determine the angular deflection $($slope$)$ at the end of the beam $($point C$)$ caused by the applied load P$.$