# True or false?

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The derivative of an odd is an even function and the derivative of an even is an odd.

The derivative of an odd is an even function and the derivative of an even is an odd.

##### 1 Answer

Apr 7, 2018

Shown below using the chain rule:

#### Explanation:

An even function is know to be defined as:

We can also use the chain rule:

Where this is the definition of the odd function

The odd function is:

Use chain rule:

This is the definition of the even function