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Mark the correct alternative in the following:
The function f(x) = xx decreases on the interval.
Formula:- The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly increasing on (a,b) is that f’(x)>0 for all x(a,b)
Given:-
f(x) = xx
now for decreasing
f’(x)<0
xx(1+logx)<0
(1+logx)<0
logx<-1
x<e-1