If the function `f(x)=| x^2 + a | x | + b |` has exactly three points of non-derivability, then

f(x)=|x|-2|+a| has exactly three points of non-differentiability.Then the value of a is

If f(x) = [2 + 5|n| sin x] , where n in I has exactly 9 points of non-derivability in (0, pi) , then possible values of n are (where [x] dentoes greatest integer function)

If f(x) = [2 + 5|n| sin x] , where n in I has exactly 9 points of non-derivability in (0, pi) , then possible values of n are (where [x] dentoes greatest integer function)

If f(x) = [2 + 5|n| sin x] , where n in I has exactly 9 points of non-derivability in (0, pi) , then possible values of n are (where [x] dentoes greatest integer function)

Let f (x) = || x^(2)-10x+21|-p|, then the exhausive set of values of for which f (x) has exactly 6 points of non-derivability, is:

Let f (x) = || x^(2)-10x+21|-p|, then the exhausive set of values of for which f (x) has exactly 6 points of non-derivability, is:

If f(x)=max{x^2+2a x+1, b} has two points of non-differentiability, then prove that a^2>1-b

If f(x)=max{x^2+2a x+1, b} has two points of non-differentiability, then prove that a^2>1-b

If f(x)=max{x^2+2a x+1, b} has two points of non-differentiability, then prove that a^2>1-b