Determine If the Piecewise Defined Function Is Differentiable at the Origin

Multiple Choice

Determine if the piecewise defined function is differentiable at the origin.
- $$g ( x ) = \left\{ \begin{array} { l l l } x ^ { 7 / 8 } & \text { if } x \geq 0 & \\x ^ { 1 / 8 } & & \text { if } x < 0\end{array} \right.$$

A) Differentiable
B) Not differentiable