Linear approximation | GameDev.net

Original Post

Apr 9, 2005 at 1:14 PM

Assume that we don't have a formula f(x) for the function f. However, we do know that f(1) = 4 and that the firstderivatives graph looks like the pic on the link: http://www.tove.istheshit.net How do I use a linear approximation to get a plausible approximate value to f(1.25)?

darookie

121

darookie

Apr 9, 2005 at 1:24 PM

You cannot derive a reasonable approximation with just one sample point.
You can, however, find the function and the parameters for the f'(x) from the graph (take a close look at it). Then you find the integral of F(x) of f'(x) and
approximate that.

Dove

Author

Dove

Apr 9, 2005 at 1:40 PM

Hmm, but how do I get the equation for the tangent in the point (1,4)?

Dove

Author

Dove

Apr 9, 2005 at 1:57 PM

Nevermind, I figured it out.

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