#Mark the correct alternative in each of the following The maximum value of x 1/x , x 0 is

Question

#Mark the correct alternative in each of the following The maximum value of x 1/x , x > 0 is

Philoid · Accepted Answer

.

Let

therefore,.

Differentiating w.r.t x

so,

Now, lets put y’=0

soOR1-log x) =0

therefore,x=1/e and x=0

Hence by second derivative test

f’’(1/e)<0 so it’s a point of maximum

and maximum value is.