Q18 of 292 Page 549

Show that is increasing for all , except at .

Consider



f’(x) at x=-1 is not defined


and for all x ∈ R- {-1}


f’(x)>0


hence f(x) is increasing.


More from this chapter

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16

Prove that the function is increasing for all .

 17

Let I be an interval disjoint from . Prove that the function is strictly increasing on I.

 19

Find the intervals on which the function is

(a) strictly increasing


(b) strictly decreasing.


 20

Find the intervals on which the function is

(a) strictly increasing (b) strictly decreasing.