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BITSAT2011MathematicsDifferentiationActual

If (y=x^ x^2 ), then ( d y d x ) is equal to

Options

  1. A((2 x) )
  2. B((2 x+1) )
  3. C(( x+1) x^ x^2 )
  4. DNone of these

Correct answer

D. None of these

Step-by-step solution

Consider (y=x^ x^2 y=x^2 x ) ( aligned & 1 y d y d x =2 x x+x^2 1 x =x(1+2 x) & d y d x =x^ x^2 x(1+2 x)=x^ x^2+1 (1+2 x) aligned )

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