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Taylor Series

  1. Nov 25, 2007 #1
    1. The problem statement, all variables and given/known data

    [​IMG]

    2. Relevant equations

    ?

    3. The attempt at a solution

    I have no idea - please help...
     
  2. jcsd
  3. Nov 25, 2007 #2

    HallsofIvy

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    Are you serious? You have never seen Taylor's series before and your teacher assigned a problem like this? klWhat an evil person!

    The Taylor's series, at (0,0), for a function, f(x,y), of two variables is given by
    [tex]f(0,0)+ f_x(0,0)x+ f_y(0,0)y+ \frac{f_{xx}(0,0)}{2}x^2+ \frac{f_{xy}(0,0)}{2}xy+ \frac{f_{yy}(0,0)}{2}y^2+ \frac{f_{xxx}(0,0)}{6}x^3+ \frac{f_{xxy}(0,0)}{6}x^2y+ \frac{f_{xyy}(0,0)}{6}xy^2+ \frac{f_{yyy}(0,0)}{6}y^3+ \cdot\cdot\cdot[/tex]

    Can you find those derivatives?
     
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