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Linear app. and tangent lines

  1. Jul 2, 2007 #1
    what is the difference between a linear approximation and a tangent line?

    my understanding is that the linear approximation is that it uses the tangent line at (a, f(a)) as an approximation to the curve y = f(x).

    my question really is, then why in calculus I do they make an entirely separate section from equation of tangent lines for linear approximations? why call it something else?
    Last edited: Jul 2, 2007
  2. jcsd
  3. Jul 2, 2007 #2


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    Linear approximation is one application of the use of tangent line.
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