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Question

Mathematics Question on Continuity and differentiability

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

A

(0,∞)

B

(-∞,∞)

C

(-∞,0)U(0,∞)

D

[-1,0]

Answer

(-∞,∞)

Explanation

Solution

The correct option is(B):(-∞,∞)