$\"\"$

\

The odd function is $\"\"$ .

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(a)

\

$\"\"$

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The derivative of an odd function is even.

\

$\"\"$

\

The even function is $\"\"$ .

\

(b)

\

$\"\"$

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The derivative of an even function is odd.

\

$\"\"$

\

(a)

\

$\"\"$ .

\

The derivative of an odd function is even.

\

(b)

\

$\"\"$ .

\

The derivative of an even function is odd.