Question

Find the intervals in which the following functions are increasing or decreasing in their domains $\log (x+1)-\frac{x}{x+1}$

Answer 1

$domain\in (-1,\infty )$

$\frac{1}{x+1}-\frac{1}{(1+x{)}^2}=\frac{x}{(1+x{)}^2}$

$decreasesin\in (-1,0)increasesin\in (0,\infty )$