I just wanted to know if my answer to this problem is accurate:

2 degree taylor approximation around (0,0) for the following function:

e^x*ln(1+y)

f(0,0) + fx(0,0)x + fy(0,0)y + 1/2 fxx(0,0)x^2 + 1/2 fyy(0,0)y^2 + fxy(0,0)xy

Also, can someone post the general form for a multivariable taylor expansion?

Thank you.