Math homework help.?

Question

I need: Taylor quadratic approximation for f(x,y)=e^x cos(y) at the origin.

Answer 1

f(0,0)=1
A second order approximations would be 1+ df(x,y)/dx*x +df(x,y)/dy*y +d^2f(x,y)/dx^2*x^2/2+d^2f(x,y)/dy^2*y^2/2
Remember that once you calculate these derivatives they are supposed to be evaluated at (x,y)=(0,0). I hope this helps.