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(a) Find the intervals in which the fun...

(a) Find the intervals in which the function `f(x)=log(1+x)-x/(1+x)` is (i) increasing,
(ii) decreasing function.
(b) Find the intervals in which the function `f(x)= x/(log_(e) x),x gt 0` is increasing or decreasing.

Text Solution

Verified by Experts

The correct Answer is:
`(a)(i)[0,infty[" "(ii)]-infty,0]-{-1}`
(b) Decreases in `]0,e]-{1}" and inceases in "[e, infty[`
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