MHT CET20249 May 2024Morning ShiftMathematicsApplication of DerivativesActual

The maximum value of x x is

Options

Ae
B2 e
C1 e
D2 e

Correct answer

C. 1 e

Step-by-step solution

Let f (x)= x x f ^ (x)= 1 x^2 - x x^2 For maximum or minimum value of f (x) , aligned & f ^ (x)=0 & 1- _e x x^2 =0 aligned _ e x=1 or x= e , which lie in (0, ) . For x= e , d ^2 y ~d x^2 =- 1 e ^3 , which is -ve . y is maximum at x= e and its maximum value = e e = 1 e .

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