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Find the Critical Numbers For f(x)=tan1(xa)tan1(xb),a>bf ( x ) = \tan ^ { - 1 } \left( \frac { x } { a } \right) - \tan ^ { - 1 } \left( \frac { x } { b } \right) , a > b

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Find the critical numbers for f(x)=tan1(xa)tan1(xb),a>bf ( x ) = \tan ^ { - 1 } \left( \frac { x } { a } \right) - \tan ^ { - 1 } \left( \frac { x } { b } \right) , a > b and identify each as a relative maximum, relative minimum, or neither.

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