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The derivative of ln|x| is an odd function is it true/false

The derivative of ln|x| is an odd function

is it true/false

Expert Solution

Solution: The given function can be written as:

Taking derivative of the above, we get:

Note that at , is not defined. Therefore, we get:

where, .

Now we test the function whether it is odd or not.

Let be denoted by . It will be odd if it satisfies the following condition:

Now,

or,

and, we know:

Comparing (1) and (2), we get:

Therefore, the derivative of is an odd function.

milcah answered 2 years ago

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The derivative of ln|x| is an odd function is it true/false

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Expert Solution

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