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JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1
If f′(x)=(x−a)2n(x−b)2  p+1f'\left( x \right) = {\left( {x - a} \right)^{2n}}{\left( {x - b} \right)^{2\;p + 1}} where nn and pp are positive integers, then
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Correct option: C
x=ax = a is not a point of maximum or minimum
Option C (x=ax = a is not a point of maximum or minimum) is correct because the sign of the derivative does not change as xx passes through aa.

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