Let there are two functions defined of f(x)="min"{|x|,|x-1|} on the basis of above information answer the following question: Points of non-differentiability of `f(x)` in `(-1,1)`

Let f : R -> R is a function satisfying f(2-x) = f(2 + x) and f(20-x)=f(x),AA x in R . On the basis of above information, answer the following questions If f(0)=5 , then minimum possible number of values of x satisfying f(x) = 5 , for x in [0, 170] is

let f: RrarrR be a function defined by f(x)=max{x,x^3} . The set of values where f(x) is differentiable is:

Show that the function f defined by f(x)= |1-x + |x|| where x is any real number is continous.

The total number of points of non-differentiability of f(x) = min[|sin x|,|cos x|, (1)/(4)]"in"(0, 2pi) is

Prove that the function f given by f(x)= |x-1|, x in R is not differentiable at x=1

f:R to R is a function defined by f(x)= 10x -7, if g=f^(-1) then g(x)=

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

Let f : R rarr R be the function defined by f(x) = 2x - 2 , AA x in R . Write f^(-1) .

The domain of the function defined by f(x)=sin^(-1)(sqrt(x-1)) is _____