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AP EAMCET202422 May 2024Morning ShiftMathematicsDifferentiationActual

If y= x+ x+ x+ . then the value of d^2 y d x^2 at the point ( , 1) is

Options

  1. A2
  2. B-2
  3. C- 1 2
  4. D1 2

Correct answer

B. -2

Step-by-step solution

aligned & y= x+ x+ x+ & y= x+y y^2= x+y aligned Differentiating w.r.t. x2 y d y d x = x+ d y d x d y d x = x 2 y-1 Differentiating w.r.t. x aligned & d^2 y d x^2 = x-2 y x- 2 ^2 x 2 y-1 (2 y-1)^2 & ( d^2 y d x^2 )_ ( , 1) = 0-2(1)(0)- 2(-1)^2 2-1 (2-1)^2 =-2 . aligned

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