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If we draw the grafic of the x³ we would see at x=0 it's 0 and its deritive is also 0. But deritive means that we should be able to draw a tangent line. But we can't at x=0. We can only draw a secant line. How is that

Ali
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    It definitely has a tangent line there. The tangent line is horizontal. – Randall Jul 09 '23 at 22:52
  • What is your definition of "tangent line"? What is your definition of "secant line"? – Xander Henderson Jul 09 '23 at 22:53
  • What you call a "secant line" is what others would still call a "tangent line", i.e. the straight line that is the best linear approximation of the function at that point. –  Jul 09 '23 at 22:55
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    OP may be confused with the fact that there isn't a local minimum or maximum, so it looks a bit like a secant line (at least, more so than the tangent to local extrema) – Gauss Jul 09 '23 at 23:09
  • @Gauss You may be correct, but I think that it is generally best to let the asker provide details and clarification, rather than to put words in their mouth. – Xander Henderson Jul 09 '23 at 23:12
  • @XanderHenderson I totally agree - which is why I only suggested a hypothesis. Sometimes, I myself feel so confused with something that I don't really know how to explain why. That is when a gentle bit of "probing" comes in handy ;) – Gauss Jul 09 '23 at 23:29
  • @Gauss doesn't a tangent line means i should thouch it then continue my way. But at this instance im going over the grafic. Am i approaching it wrongly? – Ali Jul 10 '23 at 11:44

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