The function `f(x)=| |x|-1|, x in R`, is differerntiable at all `x in R` except at the points.

Show that the function f(x) = |x-1| +1| for all x in R , is not differentiable at x = -1 and x =1

Show that the function f(x)=|x-1| for all x in R , is not differentiable at x=1 .

Show that the function f(x)=|x+1|+|x-1| for all x in R, is not differentiable at x=-1 and x=1

The function f(x)=(x)/(x^(2)+1) from R to R is

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R. a. f(x) is differentiable only in a finite interval containing zero b. f(x) is continuous for all x in R c. f'(x) is constant for all x in R d. f(x) is differentiable except at finitely many points

The number of points that the functions f(x)= |2x+ 1|+|2x-1| , " for all x " in R is not differentiable is

Show that f(x) = ((x -2))/((x +1)) is increasing for all x in R , except at x = -1

If the function f defined on R-{0} is a differentiable function and f(x^3)=x^5 for all x, then f'(27)=

Consider the following statements: 1. The function f(x)=[x] where [.] is the greatest integer function defined on R, is continuous at all points except at x=0. 2. The function f(x)=sin|x| is continuous for all x""inR . Which of the above statements is/are correct?

Consider the following statements: I. The function f(x)=[x] . Where [.] is the greatest integer function defined on R. is continuous at all points except at x = 0. II. The function f(x)=sin|x| is continuous for all x inR . Which of the above statements is/are correct?