Recall that is an even function if

and is an odd function if

prove that if is an even differentiable function on

then is an odd function

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- Jan 4th 2010, 11:14 PMflower3even and odd
Recall that is an even function if

and is an odd function if

prove that if is an even differentiable function on

then is an odd function - Jan 4th 2010, 11:22 PMtonio
- Jan 5th 2010, 04:04 AMHallsofIvy
Use the chain rule: the derivative of f(-x) is f'(-x)(-x)'= -f'(-x). The derivative of -f(x) is -f'(x). Put those together.

- Jan 5th 2010, 04:07 AMHallsofIvy
- Jan 5th 2010, 05:45 AMtonio
- Jan 5th 2010, 06:58 AMDrexel28