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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If y = ⁻¹ ( x^ 1/3 - a^ 1/3 1 + x^ 1/3 a^ 1/3 ), x > 0, a > 0 , then dy dx is :

Options

  1. A1 x^ 2/3 (1 + x^ 2/3 )
  2. B3 x^ 2/3 (1 + x^ 2/3 )
  3. C1 3x^ 2/3 (1 + x^ 2/3 )
  4. D1 3x^ 1/3 (1 + x^ 2/3 )

Correct answer

C. 1 3x^ 2/3 (1 + x^ 2/3 )

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