Compute the right$-$hand and left$-$hand defivatives as limits and check whether the function is differentiable at the point P $.$

Select the correct choice below and fill in the answer boses within your choice.

$($Type integers or simplified fractions.$)$

A$.$ The given function is not differentiable at the point P$,$ The right$-$hand derivative of the given function is $$ and the lett$-$hand definative of the given function is $.$

B$.$ The given function is differentiable at the point P $.$ The right$-$hand derivalive of the given function is

$$ and the left$-$hand derivative of the given function is $$