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BITSAT2019MathematicsDifferentiationActual

Let f ( x ) = x x , x ∉ Z , ( [ · ] denotes greatest integer function), then f ' x is equal to

Options

  1. A2 x
  2. Bx
  3. C2 x
  4. D1

Correct answer

B. x

Step-by-step solution

We have, f ( x ) = x x ∴   x   is an integer. ⇒ f x = p x    ∵ [ x ] = p ⇒ f ' x = p = x ∴   f ' x = x

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