How Do You Calculate Taylor Polynomials for f(x,y) = ln(3y-8x) at Point (1,1)?

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The discussion focuses on calculating the first and second order Taylor polynomial approximations, L(x,t) and Q(x,t), for the function f(x,y) = ln(3y-8x) at the point (1,1). Participants express confusion about the problem requirements and seek guidance on the steps necessary to derive these approximations. A suggestion is made to consult resources like the Taylor expansion in textbooks or online references, specifically pointing to equation (30) on MathWorld.

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coolingwater
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Homework Statement


f(x,y) = ln(3y-8x)

Derive the first and second order Taylor polynomial approx, L(x,t) and Q(x,t), for T(x,T) about the point (1,1)


Homework Equations


-None-


The Attempt at a Solution


I do not understand what the question wants, nor do i want a solution. I would love to know how do i proceed to do the questions, probably a few steps and directions as i do want to learn how to tackle the question. Thank you!
 
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coolingwater said:

Homework Statement


f(x,y) = ln(3y-8x)

Derive the first and second order Taylor polynomial approx, L(x,t) and Q(x,t), for T(x,T) about the point (1,1)


Homework Equations


-None-


The Attempt at a Solution


I do not understand what the question wants, nor do i want a solution. I would love to know how do i proceed to do the questions, probably a few steps and directions as i do want to learn how to tackle the question. Thank you!

Look in your textbook, or Google "Taylor expansion". For example, see equation (30) in
http://mathworld.wolfram.com/TaylorSeries.html .

RGV
 

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