# Math Help - Taylor Expansion (multivariate)

1. ## Taylor Expansion (multivariate)

Hi, I need some help understanding the taylor expansion of a function $g_0(\phi,c,T)$. I'm particularly confused with the 3rd term on the RHS. Why is there a partial derivative there? When I expand it, I get the same as whats in the image but no multiplication with partial derivatives.
Thanks

2. The notation you're using here is terrible. Where did you get this expression? Use $f(x,y,z)$ for the function of 3 variables. The third term of the series comes from the Hessian matrix. Do you what that is?

3. ## Re: Taylor Expansion (multivariate)

Thanks for replying ojones. Turns out the partial derivative multiplying the 3rd term and other terms were a typo. That's odd since this typo was present in multiple papers.