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AP EAMCET2001MathematicsDifferentiation

If y=A n x+B n x , then y₂+n^2 y is equal to

Options

  1. A0
  2. B1
  3. Cy
  4. D-1

Correct answer

A. 0

Step-by-step solution

We have, y=A n x+B n x On differentiating w.r.t. x , we get y₁=-A n n x+B n n x Again differentiating w.r.t. x , we get aligned & y₂=-A n^2 n x-B n^2 n x & y₂=-n^2(A n x+B n x) & y₂=-n^2 y y₂+n^2 y=0 aligned

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