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AP EAMCET202023 Sep 2020Morning ShiftMathematicsDifferentiationActual

If d d x x 4 + x 2 + 1 x 2 + x + 1 = a x + b , then a - b =

Options

  1. A3
  2. B4
  3. C1
  4. D2

Correct answer

A. 3

Step-by-step solution

d d x x 4 + x 2 + 1 x 2 + x + 1 = d d x x 2 + x + 1 x 2 - x + 1 x 2 + x + 1 = d d x ( x 2 - x + 1 ) = 2 x - 1 a = 2 ,   b = - 1 a - b = 3

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