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AP EAMCET201921 Apr 2019Morning ShiftMathematicsDifferentiationActual

d d x ( ( x+ x^2+a^2 ) )=

Options

  1. Ax^2+a^2
  2. B1 x^2+a^2
  3. C1 2 x^2+a^2
  4. D1 2 (x+ x^2+a^2 )

Correct answer

C. 1 2 x^2+a^2

Step-by-step solution

aligned & d d x ( ( x+ x^2+a^2 ) ) &= 1 x+ x^2+a^2 ( 1 2 x+ x^2+a^2 ) & (1+ 1 2 2 x x^2+a^2 ) &= ( x^2+a^2 +x ) 2 x^2+a^2 (x+ x^2+a^2 ) = 1 2 x^2+a^2 aligned

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