Mark the correct A. (0, e)

B. (0, 1)

C. (0, 1/e)

D. (1/e, e)

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) = x^x

now for decreasing

f^’(x)<0

x^x(1+logx)<0

(1+logx)<0

logx<-1

x<e^-1