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Manipal MET2014MathematicsApplication of Derivatives

The function x^x is increasing, when

Options

  1. Ax 1 e
  2. Bx 1 e
  3. Cx 0
  4. Dfor all x

Correct answer

A. x 1 e

Step-by-step solution

Let y=x^x d y d x =x^x(1+ x) For increaṣing function, d y d x 0 array cc & x^x(1+ x) 0 & 1+ x 0 & _e x _e 1 e & x 1 e array The function is increasing when x 1 e

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