#Mark the correct alternative in each of the following
The minimum value of x log_e x is equal to

Question

#Mark the correct alternative in each of the following The minimum value of x log e x is equal to

Philoid · Accepted Answer

Differentiating f(x) with respect to x, we get

Differentiating f’(x) with respect to x, we get

for minima at x=c, f’(c)=0 and f’’(c)>0

f’(x)=0 ⇒

Hence, is a point of minima for f(x) and is the minimum value of f(x).

#Mark the correct alternative in each of the followingThe minimum value of x loge x is equal to