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2001

JEE Main 2001 Mathematics question on Application of Derivatives

If f(x)=xex(1−x)f(x) = xe^{x(1-x)}, then f(x)f(x) is
  1. A.
    increasing in [−1/2,1][-1/2, 1]
  2. B.
    decreasing in RR
  3. C.
    increasing in RR
  4. D.
    decreasing in [−1/2,1][-1/2, 1]
Show answer

Correct option: B

[2001]

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