Question

prove the derivative of an even function is an odd function

Answer 1

We should probably start by inventing an even function then taking the derivative of it. Or do we need a rigorous proof beyond an example or two?

Answer 2

i need a proof not just examples

Answer 3

Alright, sorry then. I'm not sure how you go about rigorous proofs O.o

Answer 4

If the function isn't differentiatble you wont be able to take its derivative.

Answer 5

right but i need to prove it generally for all functions that are differentiable

Answer 6

http://math.stackexchange.com/questions/194062/derivative-of-an-even-function-is-odd-and-vice-versa

Answer 7

You should try using Google more offten

Answer 8

Or any search engine for that matter

Answer 9

i tried, i just don't understand the proof there

Answer 10

What don't you understand, look at the second proof.

Answer 11

what second proof?

Answer 12

The second answer, the one given by Antonio

Answer 13

ah, sorry didn't see the link

Answer 14

Write out the newton difference quotient definition of a derivative and then use the definition of odd and even functions to manipulate the quotient so that you get the result.

Answer 15

that's stuff i have no idea how to do which is the problem

Answer 16

ahh, well this is just summer hw so i'll figure something out - thanks