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Let us assume I have a parabola, or some kind of arbitary function.

Now, my question is: How can I geometrically construct the tangent line to a part of the function?

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Above is just an example graph. I want to know how I can construct a tangent line through A without knowing the expressions =)

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    "geometrically construct" - as in ruler/straightedge? I don't believe there's a general method; try looking up the methods for constructing tangents to conics, for instance.2012-02-08
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    Whoops, quite the error in my previous comment; I of course intended to say "compass/straightedge". Silly me...2012-02-08

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