Number of points where f(x)=|x-sgn(x)| is non differentiable is (sgn( ) denotes signum function )

The range of f(x)= 3^(-|x|)-3^(x)+sgn(e^(-x))+2 (where sgn x denotes signum function of x )

f(x)=x sgn (x^(2)) should be

Number of points in [0,pi], where f(x)=[(x tan x)/(sin x+cos x)] is non-differentiable is/are (where [.] denotes the greatest integer function)

If f(x)=x^(3)sgn(x), then

Let f:R to R be defined by f(x) = 5^(-|x|) - 5^(x) + sgn (e^(-x)) + 4 where sgn (x) denotes the signum function of x. Then

Let L denotes the number of subjective functions f : A -> B, where set A contains 4 elementset B contains 3 elements. M denotes number of elements in the range of the function f(x) = sec^-1(sgmx) + cosec^-1(sgn x) where sg n x denotes signum function of x. And N denotes coefficient of t^5 in (1+t^2)^5(1+t^3)^8. The value of (LM+N) is lambda, then the value of lambda/19 is

If f(x)=sgn(x^(5)), then which of the following is/are false (where sgn denotes signum function)

If f(x)=sgn(cos 2x - 2 sin x + 3) , where sgn () is the signum function, then f(x)