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Application of Derivatives question

2014 · Shift 0 · Q33
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  5. /2014 · Shift 0 · Q33

Application of Derivatives question

2014 · Shift 0 · Q33

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
If x=−1x=-1x=−1 and x=2x=2x=2 are extreme points of f(x)=α log⁡∣x∣+βx2+xf\left( x \right) = \alpha \,\log \left| x \right|+\beta {x^2} + xf(x)=αlog∣x∣+βx2+x then
  1. A
    α=2,β=−12\alpha = 2,\beta = - {1 \over 2}α=2,β=−21​
  2. B
    α=2,β=12\alpha = 2,\beta = {1 \over 2}α=2,β=21​
  3. C
    α=−6,β=12\alpha = - 6,\beta = {1 \over 2}α=−6,β=21​
  4. D
    α=−6,β=−12\alpha = - 6,\beta = -{1 \over 2}α=−6,β=−21​
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