Find whether the given function is increasing or decreaing.

Asked by uma.therighter | 18th Feb, 2010, 09:16: AM

Expert Answer:

f(x) = x/(1+|x|)

We can split the function as:

f(x) = x/(1+x) for x >0

      = x/(1-x)   for x < 0

f'(x) when x > 0 = 1/(1+x)2 > 0

f'(x) when x < 0 = 1/(1-x)2 >0

i.e f'(x) >0 in both the cases.

So, f(x) x/(1+|x|) is an increasing function.

Answered by  | 18th Feb, 2010, 11:15: AM

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