if my function of
f(x) = tan(x)
does this mean at places like pi/2 the derivative will not exist? where the vertical asymptote is i mean

Question

if my function of
f(x) = tan(x)
does this mean at places like pi/2 the derivative will not exist?  where the vertical asymptote is i mean

tkhunny · Answer

Not quite making sense.  You can't have an asymptote at (0,0) - or at any other point.  A vertical asymptote might be x = 0 (the y-axis).

Your function is niether bounded nor  continuous at any vertical asymptote.  What does this say of the derivative?

goten77 · Answer

@tkhunny i reworded it better

tkhunny · Answer

It is better.  It can still be improved.  Really, there is no need to try to save time by faikling to write necessary ingredients of your language.  "pi/2"  is just a number.  An asymptote would be at x = pi/2.  It's the definition of a location and a vertical line.

The previous response still answers your actual question, notation notwithstanding.