Q21 of 137 Page 19

#Mark the correct alternative in each of the following

If , then its greatest value is



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



Also, differentiating f’(x) with respect to x, we get



For maxima at x=c, f’(c)=0 and f’’(c)<0


⇒ or (Since x>0)


f’’(1)=2>0


Since f’’(1)>0 therefore x=1 is not a point of maxima and hence no maximum value of f(x) exists for x>0.

More from this chapter

All 137 →
19

#Mark the correct alternative in each of the following

If a cone of maximum volume is inscribed in a given sphere, then the ratio of the he the cone to the diameter of the sphere is


 20

#Mark the correct alternative in each of the following

The minimum value of is


 122

#Mark the correct alternative in each of the following

If then its maximum value is


 23

#Mark the correct alternative in each of the following

Let x, y be two variables and x > 0, xy = 1, then minimum value of x + y is