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JEE MATHEMATICS MCQ: RATE MEASURE

1 Easy

1 of 1

Application +4 | -1

If

x = - 1

and

x = 2

are extreme points of

f(x) = \alpha \log \left| x \right| + \beta {x^2} + x,\,

then

View answer and explanation

Correct option: C

\alpha = 2,\,\,\beta = - \frac{1}{2}

Option C (

\alpha = 2,\,\beta = - \frac{1}{2}

) is correct because substituting the extreme points into the derivative of the function and solving the resulting equations gives these values.

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