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AP EAMCET202124 Aug 2021Evening ShiftMathematicsDifferentiationActual

If y= ⁻¹ a x-b x a^2+b^2 , then d^2 y d x^2 is equal to

Options

  1. Aa-b
  2. Ba+b
  3. C1
  4. D0

Correct answer

D. 0

Step-by-step solution

We have, y= ⁻¹ ( a x-b x a^2+b^2 )y= ⁻¹( (x- )) [ . where, . = ⁻¹ b / a ] aligned & y=x- & y=x- ⁻¹ b / a d y / d x=1 aligned Again differentiating d^2 y d x^2 =0

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