The number of points at which the function `f(x) = max{a - x, a + x, b}, -oo lt x lt oo, 0 lt a lt b` cannot be differentiable is :

At the point x = 1 , then function f(x) = {{:(x^(3) - 1, 1lt x lt oo),(x - 1 , 1 - oolt x le 1):} is

At the point x = 1 , then function f(x) = {{:(x^(3) - 1, 1lt x lt oo),(x - 1 , 1 - oolt x le 1):} is

The number of points of non- differentiability of function f(x) = max { sin ^(-1)|sin x|, cos ^(-1) |sin x|} ,0 lt x lt 2 pi , is ________.

The number of points at which f(x)=[x]+|1-x|, -1lt x lt3 is not differentiable is (where [.] denotes G.I.F)

The maximum value of the function of (log_(e) x)/(x) in 0 lt x lt oo is at

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

If (x-a) (x-b) lt 0 , then x lt a, and x gt b .