First-degree = 1
Second-degree = 1-x^2-y^2
Has anyone managed to obtain something similar?
Hi! Could anyone help me with this question? I'm unable to sleep as I haven't found the solution!
Find the first and second-degree Taylor polynomials of
f(x, y) = e^(-x^2 - y^2)
at (0, 0). I know I've got to use the Taylor formula for function of 2 variables but as my understanding is weak, I'm unable to do so.
Any help is much appreciated!!
The second method (presumably the one you are supposed to be using) is to use the two-variable Taylor expansion
If you do the partial differentiations, evaluate them at (0,0) and put them into that formula, then you should get the same answer as by the first method.