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KCET2024MathematicsApplication of Derivatives

The function x^x ; x 0 is strictly increasing at

Options

  1. Ax R
  2. Bx 1 e
  3. Cx 1 e
  4. Dx 0

Correct answer

C. x 1 e

Step-by-step solution

Let y=x^x d y d x =x^x(1+ x) For increasing function, d y d x 0 . x^x(1+ x) 0 1+ x 0 _e x _e 1 e Hence, x 1 e

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