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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Let for the function f(x) = cases ⁻¹ x & ; -1 x 0 mx + c & ; 0 < x 1 cases , Lagrange's mean value theorem is applicable in [-1, 1] then ordered pair (m, c) is :

Options

  1. A( 1, - 2 )
  2. B( 1, 2 )
  3. C( -1, - 2 )
  4. D( -1, 2 )

Correct answer

D. ( -1, 2 )

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