- #1
Saladsamurai
- 3,020
- 7
"Partial" Taylor Series Expansion
It has been awhile since I have had to use a Taylor series expansion (from scratch). I looked it up on wiki and the rules are easy enough, I am just a little confused as to how I apply it to a multivariable function, but only expand it about one variable.
For example, if I want to expand the function f(x,y) about x = a only, for let's say the first two terms of the expansion, how would I do that?
Would it just be:
[tex] f(x,y) = f(a,y) + \frac{f_x(a,y)}{1!}(x - a)[/tex] ?
I have a feeling it is not this simple...
Thoughts?
It has been awhile since I have had to use a Taylor series expansion (from scratch). I looked it up on wiki and the rules are easy enough, I am just a little confused as to how I apply it to a multivariable function, but only expand it about one variable.
For example, if I want to expand the function f(x,y) about x = a only, for let's say the first two terms of the expansion, how would I do that?
Would it just be:
[tex] f(x,y) = f(a,y) + \frac{f_x(a,y)}{1!}(x - a)[/tex] ?
I have a feeling it is not this simple...
Thoughts?