Issues with linear and quadratic multivariate Taylor series
I am having a few issues with my linear algebra course. Me and my friends are in a study group and we are working on this problem for one of our seminars:
3. Find the linear and quadratic approximations to the funtion f(x,y)=e^(ax-by) around the point (0,0)
We think we have found the linear approximation of this as:
1 + xae^(ax-by) - ybe^(ax-by)
Is this correct? How do we get the quadratic approximation?
Hope you can help guys, it would be much appreciated.