(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let f: R[tex]\rightarrow[/tex] R be a differentiable even function. Prove that f' is an odd

function.

Also, prove that if f is a differentiable odd function, then f' is an even function.

2. Relevant equations

3. The attempt at a solution

I tried to use definition, so I should tried to prove f'(-x)=-f'(x) for first part, and f'(-x)=f'(x) for second part, but I cannot end up these results.

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# Differentiable off and even functions

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