The set of pointegrals, where (f(x)=\frac{x}{1+|x|}) is diff... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The set of points, where $f(x)=\frac{x}{1+|x|}$ is differentiable, is:

A

(-∞,-1)∪(-1,∞)

B

(-∞,∞)

C

(0,∞)

D

(-∞,0)∪(0,∞)

Answer

(-∞,∞)

Explanation

Solution

The correct option is (B): (-∞,∞)