Discuss the monotonicity and local extrema ofthe function f(x)=log1+x-x1+x,x>-1 and hence find the domain where log(1+x)>x1+x

Discuss the monotonicity and local extrema of
the function $f (x) = \log (1 + x) - \frac{x}{1 + x}, x > - 1$ and hence find the domain where $\log (1 + x) > \frac{x}{1 + x}$

Matching exercise

Match the items on the right to the items on the left.

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