Q. 21

#Mark the correct alternative in each of the following

If , then its greatest value is

A. –2

B. 0

C. 3

D. none of these

Answer :

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)


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.

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