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AP EAMCET2004MathematicsDifferentiation

If the function y= ⁻¹ x , then (1-x^2 ) d^2 y d x^2 is equal to

Options

  1. A-x d y d x
  2. B0
  3. Cx d y d x
  4. Dx ( d y d x )^2

Correct answer

C. x d y d x

Step-by-step solution

Again differentiating w.r.t. x , we get aligned d^2 y d x^2 & = 0- 1 2 (-2 x) 1-x^2 ( 1-x^2 )^2 d^2 y d x^2 & = 1 (1-x^2 ) x 1-x^2 aligned [From Eqs.(i)]

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