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AP EAMCET202421 May 2024Evening ShiftMathematicsDifferentiationActual

If d d x ( 1+x^2+x^4 1+x+x^2 )=a x+b then (a, b)=

Options

  1. A(-1,2)
  2. B(-2,1)
  3. C(2,-1)
  4. D(1,2)

Correct answer

C. (2,-1)

Step-by-step solution

aligned & 1+x^2+x^4 1+x+x^2 = (1+x+x^2 ) (1-x+x^2 ) 1+x+x^2 =x^2-x+1 & d d x ( 1+x^2+x^4 1+x+x^2 )=2 x-1 a=2, b=-1 aligned

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