Quadratic Approximation

If you know linear approximation, then quadratic approximation has a similar formula so it shouldn't be hard for you. Quadratic approximation is ONLY used when higher accuracy is neccesary. The formula for linear approximation is L(x)=f(a)+f'(a)(x-a), and the quadratic approximation formula is just that formula plus f''(a)((x-a)2)/2.

The full formula is : Q(x)=f(a)+f'(a)(x-a)+f''(a)((x-a)2)/2.

Be advised, since this is quadratic approximation, we don't care about terms that is higher than 2nd degree. For example we throw away terms like x3.

  • Subject : Math
  • Topic : Calculus
  • Posted By : Jason
  • Created on : 08-09-2012

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