documentclass{standalone}usepackage{mathtools,tikz}
begin{document}begin{tikzpicture}[scale=0.8,auto]
tikzset{EdgeStyle/.style={postaction=decorate},MyLabel/.style={auto=right,fill=none,outer sep=0.1ex}}
node (n11) at (2,0) {$f''$};
node (n21) at (1,2) {$f'$};
node (n22) at (3,2) {$h'$};
node (n31) at (0,4) {$f$};
node (n32) at (2,4) {$g$};
node (n33) at (4,4) {$h$};
draw[line width=1pt,->,bend left=10] (n31) edge node[swap] {$*$} (n21);%topleft
draw[line width=1pt,->,bend left=10] (n32) edge node[swap] {$*$} (n21);
draw[line width=1pt,->,bend left=10] (n32) edge node {$*$} (n22);
draw[line width=1pt,->,bend left=10] (n33) edge node {$*$} (n22);
draw[line width=1pt,->,bend right=10] (n21) edge node[swap] {$*$} (n11);
draw[line width=1pt,->,bend left=10] (n22) edge node {$*$} (n11);%bottomright
end{tikzpicture}end{document}