Determine whether the function satisfies the hypotheses of the mean value theorem for the given interval

f(x) = tan^(-1) x , [-1,1]

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- Jun 13th 2006, 06:14 PMyakkowhow to do this ?
Determine whether the function satisfies the hypotheses of the mean value theorem for the given interval

f(x) = tan^(-1) x , [-1,1] - Jun 13th 2006, 06:23 PMThePerfectHackerQuote:

Originally Posted by**yakkow**

Is is differenciable on the open interval (-1,1)---->Yes

Conditions satisfied.

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To find such a number you need.

Since,

We have,

Also, ,

Thus,

Thus,

Thus,

Thus,