If the function is defined by `f(x) = x / (1+|x|)` then at what points is f differentiable

If the function f is defined by f(x)=(x)/(1+|x|) , then at what points is f differntiable ?

If a function f(x) is defined as f(x)={-x,x 1 then

If the function f be defined by f(x) =(2x +1)/(1-3x) , then f ^(-1) (x) is-

The set of points where the function f given by f(x) = |2x – 1| sin x is differentiable is

Prove that the greatest integer function defined by f(x) =[x] ,0 lt x lt 2 is not differentiable at x=1

Let f:[-1,1] to R_(f) be a function defined by f(x)=(x)/(x+2) . Show that f is invertible.

The number of points at which the function f defined by 2f(sin x)+f(cos x)=x ,AA x in R is not differentiable is

A function f defined by f(x)=In(sqrt(x^(2)+1-x)) is