The function`" "f(x)=||x|-1|" "`is differentiable at all real numbers except at the points `(x_(i),y_(i))` then `sum x_(i)`

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

The function given by y=|x|-1| is differentiable for all real numbers except at points

The function given by y=||x|-1| is differentiable for all real numbers except the points {0,\ 1,\ -1} b. +-1 c. 1 d. -1

Let f and g be function that are differentiable for all real numbers x and that have the following properties: f'(x)=f(x)-g(x)

Consider the following statements: I. The function f(x)=|x| is not differentiable at x = 1 II. The function f(x)=e^(x) is differentiable at x = 0 Which of the above statements is/are correct?

If f(x) be a differentiable function for all positive numbers such that f(x.y)=f(x)+f(y) and f(e)=1 then lim_(x rarr0)(f(x+1))/(2x)

Let f (x ) = | 3 - | 2- | x- 1 |||, AA x in R be not differentiable at x _ 1 , x _ 2 , x _ 3, ….x_ n , then sum _ (i= 1 ) ^( n ) x _ i^2 equal to :