A function $f : \mathbb{R} \rightarrow \mathbb{R}$ is at least $2015$ times differentiable. $f(x)$ is differentiated 2015 times to get $g(x) = \dfrac{ d^{2015} }{dx^{2015} } \big[ f(x) \big]$.

**True or False**

If $f(x)$ is an odd function, then $g(x) = g(-x)$ for all values of $x$.