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AP EAMCET · Maths · Differentiation

If y=asinx+(5+2x)cosx, then y''+y=

  1. A 4cosx
  2. B -4cosx
  3. C 4sinx
  4. D -4sinx
Verified Solution

Answer & Solution

Correct Answer

(D) -4sinx

Step-by-step Solution

Detailed explanation

Given: y=asinx+(5+2x)cosx  ..i Differentiating w.r.t. x, we get y'=acosx+2cosx-5+2xsinx y'=a+2cosx-5+2xsinx Again differentiating w.r.t. x, we get y''=-a+2sinx-5+2xcosx-2sinx  ...ii Adding i & ii, we get…