1. The problem statement, all variables and given/known data A function f is an even function is f(-x)=f(x) for all x and is an odd function is f(-x)=-f(x) for all x. Prove that the derivative of an odd function is even and the derivative of an even function is off. I get what even and odd functions are but I'm not sure how to rigorously prove this. 2. Relevant equations 3. The attempt at a solution Not sure how to start. Maybe use limit definition?