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JEE Math Practice Question

The sum of all the local minimum values of the twice differentiable function f : R $$\to$$ R defined by $$f(x) = {x^3} - 3{x^2} - {{3f''(2)} \over 2}x + f''(1)$$ is :

  1. A.$$-$$22
  2. B.5
  3. C.$$-$$27
  4. D.0

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