Determine If the Piecewise Defined Function Is Differentiable at the Origin

Multiple Choice

Determine if the piecewise defined function is differentiable at the origin.
- $$f ( x ) = \left\{ \begin{array} { l l } 4 x - 6 & \text { if } x < 0 \\x ^ { 2 } + 6 x + 6 & \text { if } x \geq 0\end{array} \right.$$

A) Not differentiable
B) Differentiable