Math Is Fun Forum

pari_alf

Member

Registered: 2013-12-01

Posts: 85

derivative of 2D funciton by the taylor series

Hi Guys,

Today i need to understand the mathematical equation.

Below attached equation is the first derivative of 2D function, f(x+u, y+v) by the taylor series.

I need explanation that how to get it.
thank you.   

Thank you

Last edited by pari_alf (2015-05-15 19:00:06)

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: derivative of 2D funciton by the taylor series

The Taylor series to the first order of f(x,y) at the point (a,b) is

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If you replace (x,y) by (x+u,y+v) and (a,b) by (x,y), you are done.

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Bassaricyon neblina

pari_alf

Member

Registered: 2013-12-01

Posts: 85

Re: derivative of 2D funciton by the taylor series

Hello,

Than what is the second order of f (x,y) at the point (a,b)?