For a function z=f(x,y),(adsbygoogle = window.adsbygoogle || []).push({});

Keeping y constant, using Taylor's

f(x+Δx,y)-f(x,y)=.....-equation 1

f(x,y+Δy)-f(x,y)=.....-equation 2

Then total change of z =equation 1 + equation 2

Is this correct?

but in the picture uploaded http://www.math.auckland.ac.nz/mathwiki/images/d/dc/MATHS_362_Semester_2_2007_Lecture_1.pdf

How to get that 2fxy(x-a)(y-b)?

Please guide.

Thank you

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# Taylor's theorem for multivariable functions

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