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A function f:R→Rf : \mathbb{R} \rightarrow \mathbb{R} f:R→R is at least 20152015 2015 times differentiable. f(x)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]g(x)=dx2015d2015[f(x)].
True or False
If f(x) f(x) f(x) is an odd function, then g(x)=g(−x)g(x) = g(-x)g(x)=g(−x) for all values of xxx.
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