JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f\left( x \right) = a{\log _e}\left| x \right| + b{x^2} + x

has extremum at

x = 1\,and\,x = 3

, then

View answer and explanation

Correct option: A

a = - 3/4,b = - 1/8

Option A (

a = - 3/4,b = - 1/8

) is correct because these values satisfy the conditions for extrema at x = 1 and x = 3, derived from the first derivative test.

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