I need a little bit of help with a question.
Whats the second degree taylor polynomial (taylor vector quadratic) for the function
f(x) = x1^3 x2^2 about the point [2, 3] <------- Vector
Thanks if anyone can help
It is rather difficult to understand what function you are referring to. Perhaps you mean:
At any rate:
Regards.
Fernando Revilla
Another way to do it:
A polynomial already is a Taylor's polynomial. To get it around (2, 3) (which is NOT a vector), let and , so that and . Then .
To get the second degree polynomial, just drop all terms where the exponents sum to 3 or larger, then replace u and v with and again.