Q16 of 292 Page 549

Prove that the function is increasing for all .

Consider






Clearly we can see that f’(x)>o for x>-1.


Hence function is increasing for all x>-1


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Show that is decreasing on .

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Show that is increasing on .

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

 18

Show that is increasing for all , except at .