
#1
Sep1310, 08:38 AM

P: 15

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. 



#2
Sep1310, 08:44 AM

Mentor
P: 4,499

Why don't you show us what you did? It might help to change h to h in the limit definition




#3
Sep1310, 09:06 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,882

Are you using the difference quotient? You should be able to do this by differentiating f'(x), letting u= x and using the chain rule.



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