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NDA2013MathematicsDifferentiationActual

If y=x^x , what is d y d x at x=1 equal to ?

Options

  1. A0
  2. B1
  3. C-1
  4. D2

Correct answer

B. 1

Step-by-step solution

y=x^x y=x x aligned 1 y d y d x & =1+ x d y d x & =y e x . d y d x |_ x=1 & =1 e=1 aligned

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