Problem 1302 (difficulty: 3/10)
\(\displaystyle f:\R^2\to\R^3\), \(\displaystyle (x,y)\mapsto (e^x,x^2+y^2,\sin x)\); \(\displaystyle g:\R^3\to\R\), \(\displaystyle (X,Y,Z)\mapsto XY\). \(\displaystyle (g\circ f)'=?\)