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COMEDK2014MathematicsDifferentiation

If y= x , then d² y d x² =

Options

  1. A1+y²
  2. B2 y (1+y² )
  3. Cy (1+y² )
  4. D2 y (1-y² )

Correct answer

B. 2 y (1+y² )

Step-by-step solution

Given, y= x Differentiating w.r.t. x both sides, d y d x = ² x Taking again derivative w.r.t. x , aligned & d² y d x² =2 x x x &=2 ² x x=2 x (1+ ² x ) &=2 y (1+y² ) aligned

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