Question: Recall that a function f is called even if f s2xd f sxd for all x in its domain and odd if f s2xd

Recall that a function f is called even if f s2xd − f sxd for all x in its domain and odd if f s2xd − 2f sxd for all such x.

Prove each of the following.

(a) The derivative of an even function is an odd function.

(b) The derivative of an odd function is an even function.

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