1)x to the power 1/3 continuous and differentiable in its domain of x
2)mod(×)÷× is discontinuous at x=0 and not differentiable at x=0
3)e(to the power -x) is continuous and differentiable in domai of x
4)tanx is undefined at at x= ( discontious ) at x=pie/2
Actually you can talk about continuity only in domain so tanx etc are continuous everywhere in there domain
Option A is hence the right answer
It seems to be a bit confusing, even (x^1/3) is continuous everywhere in its domain.
Yes and non-differentiable at x=0. So it fits the bill
Sir..for y=x^1/3 the tangent at x=0 is itself y axis...further the curve is smooth and there is no sharp corner...so at x=0 tangent
Itself is y axis and slope is tan(90 degree)
So far i know that differentiability at a point means ability to draw
TANGENT AT that point...so pls comment...MAY BE I AM WRONG
has a very good answer
Also derivative is essentially a limit. We say that the limit exists only if it is a real number.
So derivative being infinity on either side doesnt mean it exists.
Thank you sir
Option A is the write answer as we can see this from the above listed graphs