Yes, Yes !
I ignored the derivative part may be due to very small words and inclined image.
But what's bad, @PUNDALIK_BAGI learnt a new concept of odd and even functions.
See both statements are true because for some functions, f(x)= -f'(x) and for some they are f(x) = f'(x)
So, even and odd functions are separate concept and are not associated with derivative but for some functions they can be associated I think.
Because for some functions f(x)= -f(x) and f(x) = -f ' (x) both hold true.