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# CBSE Class 12-science Answered

Find the intervals in which the function f (x) = is increasing or decreasing

Asked by Topperlearning User | 06 Aug, 2014, 10:12: AM Expert Answer

We have,

f (x) = Clearly, f (x) is defined for all x satisfying

x + 1 > 0 i.e. x > – 1

So, domain (f) = (–1, ¥)

Now,

f (x) = Þ f ¢ (x) = Þ f ¢ (x) = Þ f ¢ (x) = For f (x) is be increasing, we must have

f¢ (x) > 0

Þ Þ x - 1 > 0

Þ x > 1

Þ x Î (1, ¥)

So, f (x) is increasing on (1, ¥)

Hence, f (x) is increasing in its domain

Answered by | 06 Aug, 2014, 12:12: PM

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