Will you integrate it 2015 times? - VI

Calculus Level 2

A function f:RRf : \mathbb{R} \rightarrow \mathbb{R} is at least 20152015 times differentiable. f(x)f(x) is differentiated 2015 times to get g(x)=d2015dx2015[f(x)] g(x) = \dfrac{ d^{2015} }{dx^{2015} } \big[ f(x) \big].

True or False

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


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