Italic greek letters, upright operators and working partial sign with unicode-math and TeX Gyre Pagella

Question

I need upright math operators such as \sin, \tan etc., italic uppercase greek letters and a working \partial operator. With the code below I was able to get two out of three, but I was told that it's not the recommended way of achieving what I need (see comments). And I still need a \partial sign.

\documentclass[convert]{standalone}

\usepackage[math-style=ISO]{unicode-math}
\usepackage{amsmath}

\usepackage{fontspec}
\setmainfont[Ligatures=TeX]{TeX Gyre Pagella}
\setsansfont[Ligatures=TeX,Scale=.9]{TeX Gyre Heros}
\setmonofont[Scale=MatchLowercase]{TeX Gyre Cursor}
\setmathfont[Ligatures=TeX]{TeX Gyre Pagella Math}
\setmathfont[range=\mathup]  {TeX Gyre Pagella}
\setmathfont[range=\mathbfup]{TeX Gyre Pagella Bold}
\setmathfont[range=\mathbfit]{TeX Gyre Pagella Bold Italic}
\setmathfont[range=\mathit]  {TeX Gyre Pagella Italic}

\begin{document}

$x\partial x$

\end{document}

How can I get all three things working?

Answer 1

Eventually I was able to find the reason with the great help of the comments to my question. For those observing similar problems, I post an answer here.

1. The missing \partial comes from reassigning unicode ranges to different fonts. Don't do it unless you know what the side effects are. I didn't and therefore another problem was hidden by this wrong solution.
2. The option math-style=ISO did not break my math operators. Loading amsmath after unicode-math was the problem (It's stated in the unicode-math manual that amsmath must be loaded before but I was searching for the error somewhere else, thinking that the italic operators were intentionaly set by unicode-math).

So, loading amsmath before unicode-math and removing the range reassignments in the question's code solves everything.

\usepackage[no-math]{fontspec}
\setmainfont[Ligatures={TeX,Common}]{TeX Gyre Pagella}

\usepackage{amsmath}

\usepackage[math-style=ISO]{unicode-math}
\setmathfont{TeX Gyre Pagella Math}