Q. 6

Write the point where () = e attains minimum value.

Answer :

Let f (x)= x loge x. Clearly f (x) is only defined for x >0.

For minimum value; f’(x)=0 and f’’(x)>0.

f’(x)= 1+lnx


f’’(x)= 1/x, Clearly f’’(x)>0 for all x. So only minima is defined.

So, minima of f (x) is at x = 1/e

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