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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

For t (0, 1) ; let x = 2^ ⁻¹ t and y = 2^ ⁻¹ t , then 1 + ( dy dx )^2 equals :

Options

  1. Ax^2 y^2
  2. By^2 x^2
  3. Cx^2 + y^2 y^2
  4. Dx^2 + y^2 x^2

Correct answer

D. x^2 + y^2 x^2

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