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

Draw the graph of the function f(x)= x- |x-x^(2)|, -1 le x le 1 and find the points of non-differentiability.

Draw the graph of f(x) = 2x+3x^(2//3) and discuss the type of non-differentiability for the function. Also find the point of inflection.

Find the number of points of non-diferentiability for f(x)=max{||x|-1|,1//2} .

The function f(x)=x^(1/3)(x-1) has two inflection points has one point of extremum is non-differentiable has range [-3x2^(-8/3),oo)

Let f: (-1,1)toR be a function defind by f(x) =max. {-absx,-sqrt(1-x^2)} . If K is the set of all points at which f is not differentiable, then K has set of all points at which f is not differentiable, then K has exactly

The function f(x)={(2, xle1),(x, xgt1):} is not differentiable at……

If f(x)={x ,xlt=1,x^2+b x+c ,x >1' find b and c if function is continuous and differentiable at x=1

Let f(x) = max. {|x^2 - 2| x ||,| x |} then number of points where f(x) is non derivable, is :

Find the number of points where the function f(x)=max|tanx|,cos|x|) is non-differentiable in the interval (-pi,pi) .