If the minimum value of f(x) = 5x^ 2 /2 + /x^ 5 , x > 0 is 14, then the value of is equal to -

JEE Main 2022 Mathematics question

If the minimum value of , x > 0 is 14, then the value of is equal to -

Answer: (C)

gives , i.e. (and changes sign from negative to positive, so this is the minimum). Then

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Question ID VK-034792