If `f(x)=ln(1+x)-(tan^(-1)x)/(1+x)`, (for `x> 0)` then `sgn f(x)` is ( `sgn` represents signum function)

If g(x)=ln(1+x)(tan^(-1)x)/(1+x),xgt0 then sgn(g(x)) is,(where sgn(.) represents signum function)

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

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

Let f(x)=2tan^(3)x-6tan^(2)x+1+sgn(e^(x)),AA x in [-(pi)/(4),(pi)/(4)], Then the positive difference between the least value and the local maximum value of the function is (where sgn (f(x)) represents the signum function)

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

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

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

If f(x)=sgn(x)={(|x|)/(x),x!=0,0,x=0 and g(x)=f(f(x)) then at x=0,g(x) is

The number of solution of the equation sgn({x})=|1-x| is/are (where {*} represent fractional part function and sgn represent signum function)

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