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#1 2008-04-22 00:18:49

dexza666
Member
Registered: 2008-04-21
Posts: 5

more local linearization

find the local linearization of the function f(x,y) = √(x³+y4) at the point (1,2). use it to estimate f(1.04,1.98).

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#2 2008-04-22 02:15:05

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: more local linearization

I'm bad at calc, but I would do dx-deriv 1st and dy-deriv for a 2nd equation.
^ = exponent
* = multiply

x'=[0.5(x^3+y^4)^-0.5]*3x^2
y'=[0.5(x^3+y^4)^-0.5]*4y^3

I'm totally guessing though.

Last edited by John E. Franklin (2008-04-22 02:17:49)


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#3 2008-04-22 02:16:06

luca-deltodesco
Member
Registered: 2006-05-05
Posts: 1,470

Re: more local linearization

Last edited by luca-deltodesco (2008-04-22 02:18:23)


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