if f(x) is an even function

prove that f'(x) is odd function

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- January 21st 2009, 02:27 PMtransgalacticodd function prove
if f(x) is an even function

prove that f'(x) is odd function - January 21st 2009, 02:44 PMKrizalid
It's quite simple since now just differentiate.

- January 21st 2009, 02:56 PMursaQuote:

It's quite simple since http://www.mathhelpforum.com/math-he...5a6b8ad8-1.gif now just differentiate.

its an even function

so

f(-x)=f(x), now differentiate

-f'(-x)=f'(x)

f'(-x)=-f'(x)

hence, f'(x) is an odd function - January 21st 2009, 02:59 PMKrizalid
I let myself go with the word "odd," haha; anyway, the idea is the same.

- January 21st 2009, 05:24 PMMathstud28
Alternatively

So