In which of the following cases, the function f(x) has vertical tangent at x = 0 ?
(ii) `f(x)=sgnx`

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? (i) f(x)=x^(1//3)

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? f(x)=sqrt(|x|)

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? f(x)=x^(2//3)

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? (v) f(x)={{:(0","," if "xlt0),(1","," if "xge0):}

The function f(x)=|x| has:

The function f(x) = [x] is :

The curve y-e^(xy)+x=0 has a vertical tangent at the point :

Find the range of each of the following functions. (i) f(x)=2-3x, x in R, x gt 0 (ii) f(x)=x^(2)+2, x is a real number. (iii) f(x) = x, x is a real number