Notes for AKT-090924-2/0:39:41

Hints:

1. Leibniz rule for derivative of products:

$\partial _{x}(f.g)=(\partial _{x}f)g+f(\partial _{x}g)$

2. Iterated Leibniz rule (for expressions like $(\partial _{x}\partial _{y}\partial _{z})(f.g)$)

3. Leibniz rule in a discrete (combinatorial) setting:

Failed to parse (unknown function "\doublepoint"): {\displaystyle (f.g)(\doublepoint)=f(\doublepoint)g(\overcrossing) + f(\undercrossing)g(\doublepoint)}