Properties of odd and even function

Odd & Even Function

Given an example of a function which is both odd and even function.

Prove that the derivative of an even function is an odd function and that of an odd function is an even function.

Prove that the derivative of an even function is an odd function and that of an odd function is an even function.

The derivative of an even function is always an odd function.

The derivative of an even function is always an odd function.

The derivative of an even function is always an odd function.

True or False : Derivative of an even function is always an odd function.

True or False -The derivative of an even function is always an odd function.