Request a call back

Find the intervals in which the function f (x) =  is increasing or decreasing
Asked by Topperlearning User | 06 Aug, 2014, 10:12: AM

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

## Concept Videos

CBSE 12-science - Maths
Asked by haroonrashidgkp | 08 Sep, 2018, 04:16: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 08:00: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 08:12: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 09:18: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 09:20: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 09:22: AM