Notes for AKT-090924-2/0:39:41: Difference between revisions
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Hints: i) Leibniz rule for derivative of products |
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1. Leibniz rule for derivative of products: |
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:<math>\partial_x(f.g)=(\partial_x f) g +f (\partial_x g)</math> |
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2. Iterated Leibniz rule (for expressions like <math>(\partial_x \partial_y \partial_z) (f.g)</math>) |
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<math>(f.g)(\doublepoint)=f(\doublepoint)g(\overcrossing) + f(\undercrossing)g(\doublepoint)</math> |
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Latest revision as of 16:45, 17 September 2011
Hints:
1. Leibniz rule for derivative of products:
- [math]\displaystyle{ \partial_x(f.g)=(\partial_x f) g +f (\partial_x g) }[/math]
2. Iterated Leibniz rule (for expressions like [math]\displaystyle{ (\partial_x \partial_y \partial_z) (f.g) }[/math])
3. Leibniz rule in a discrete (combinatorial) setting:
[math]\displaystyle{ (f.g)(\doublepoint)=f(\doublepoint)g(\overcrossing) + f(\undercrossing)g(\doublepoint) }[/math]
