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AP EAMCET202420 May 2024Morning ShiftMathematicsDifferentiationActual

For x 0, d d x [|x|^x ]=

Options

  1. A(-x)^x[-1+ (-x)]
  2. B(-x)^ x [1+ (-x)]
  3. C(-x)^ x [1- (-x)]
  4. D(-x)^ x [-1- (-x)]

Correct answer

B. (-x)^ x [1+ (-x)]

Step-by-step solution

|x|=-x x 0 . |x|^x=(-x)^x y=(-x)^x y=x (-x) y^ y =1+ (-x) d y d x =(-x)^x( (-x)+1)

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