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Memory Based GATE DA 2024 | Question: 28

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Consider a function \(f\) with \(f^1(X^*) = 0\) and \(f^{1l}(X^*) > 0\). Based on these conditions, determine the nature of the critical point \(X^*\) for the function \(f(X)\).

  1. \(X^*\) is a local maximum
  2. \(X^*\) is a local minimum
  3. \(X^*\) is a global maximum
  4. \(X^*\) is a global minimum
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