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AP EAMCET202421 May 2024Morning ShiftMathematicsDifferentiationActual

If y= x+ x+ , then 2 y₁ y₃=

Options

  1. A2 y₂^3
  2. B3 y₂^2
  3. Cy₂^2
  4. D3 y₃^2

Correct answer

B. 3 y₂^2

Step-by-step solution

aligned & y= x+ x+ & y₁= ( x+ )- ( x+ ) ( x+ )^2 = - ( x+ )^2 aligned aligned & y₂= -2( - ) ( x+ )^3 y₃= 6 ^2( - ) ( x+ )^4 & 2 y₁ y₃= 12 ^2( - )^2 ( x+ )^6 =3 y₂^2 aligned

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