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JEE Main2003MathematicsApplication of DerivativesActual

The real number x when added to its inverse gives the minimum value of the sum at x equal to

Options

  1. A-2
  2. B2
  3. C1
  4. D-1

Correct answer

C. 1

Step-by-step solution

y=x+ 1 x or d y d x =1- 1 x^2 For . or ., 1- 1 x^2 =0 x= 1 d ^2 y dx ^2 = 2 x ^3 ( d ^2 y dx ^2 )_ x =2 =2(+ ve minima) Therefore x=1

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