Derivative of an even function is odd, and derivative of an odd function is even. #MTBoS #itechmath #Math #Maths
As I was just mentioning to Jonathan, my chain rule proof requires differentiability of the function on its domain. I think it works where the original function has a cusp or a vertical tangent, but I'd have to consider other cases though.
Adds so much to the traditional chain rule calculus proof: f(-x) = f(x) → f'(-x)•(-1) = f'(x) → f'(-x) = -f'(x) 😊
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