MHT CET202124 Sep 2021Evening ShiftMathematicsApplication of DerivativesActual

The minimum value of the function f(x)=x x is

Options

A-e
Be
C1 e
D- 1 e

Correct answer

D. - 1 e

Step-by-step solution

f(x)=x x f ^ ( x )= x x + x =1+ x When 1+ x =0 x = 1 e f ^ ( x )= 1 x [ f ^ ( x ) ]_ x = 1 e = e >0 Thus f ( x ) is minimum at x = 1 e and f(x)= ( 1 e ) ( 1 e )= -1 e

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