Q82 of 292 Page 569

Mark (√) against the correct answer in the following:

When x is positive, the minimum value of is


Given: f(x) = xx.


⇒ f' (x)=(log x+1) xx


⇒ keeping f’(x) = 0


We get




When x is greater than zero,


We get a maximum value as the function will be negative.


Therefore,


F(x) = xx


F(e) =


Hence, C is the correct answer.

More from this chapter

All 292 →
80

Mark (√) against the correct answer in the following:

The least value of k for which is increasing on (1, 2), is


 81

Mark (√) against the correct answer in the following:

has


 83

Mark (√) against the correct answer in the following:

The maximum value of is


 84

Mark (√) against the correct answer in the following:

in (-π, 0) has a maxima at